diff --git a/src/Type/ClassConstantAccessType.php b/src/Type/ClassConstantAccessType.php
index e3be822f44..6d5d97c050 100644
--- a/src/Type/ClassConstantAccessType.php
+++ b/src/Type/ClassConstantAccessType.php
@@ -8,6 +8,7 @@
 use PHPStan\Type\Generic\TemplateTypeVariance;
 use PHPStan\Type\Traits\LateResolvableTypeTrait;
 use PHPStan\Type\Traits\NonGeneralizableTypeTrait;
+use function count;
 
 final class ClassConstantAccessType implements CompoundType, LateResolvableType
 {
@@ -49,13 +50,52 @@ public function isResolvable(): bool
 		return !TypeUtils::containsTemplateType($this->type);
 	}
 
-	protected function getResult(): Type
+	public function isSubTypeOf(Type $otherType): IsSuperTypeOfResult
 	{
 		if ($this->type->hasConstant($this->constantName)->yes()) {
-			return $this->type->getConstant($this->constantName)->getValueType();
+			$valueType = $this->type->getConstant($this->constantName)->getValueType();
+			return $otherType->isSuperTypeOf($valueType);
+		}
+
+		return $otherType->isSuperTypeOf($this->resolve());
+	}
+
+	public function isAcceptedBy(Type $acceptingType, bool $strictTypes): AcceptsResult
+	{
+		if ($this->type->hasConstant($this->constantName)->yes()) {
+			$valueType = $this->type->getConstant($this->constantName)->getValueType();
+			return $acceptingType->accepts($valueType, $strictTypes);
+		}
+
+		$result = $this->resolve();
+
+		if ($result instanceof CompoundType) {
+			return $result->isAcceptedBy($acceptingType, $strictTypes);
+		}
+
+		return $acceptingType->accepts($result, $strictTypes);
+	}
+
+	protected function getResult(): Type
+	{
+		if (!$this->type->hasConstant($this->constantName)->yes()) {
+			return new ErrorType();
+		}
+
+		$constantReflection = $this->type->getConstant($this->constantName);
+
+		$classReflections = $this->type->getObjectClassReflections();
+		$isFinalClass = count($classReflections) === 1 && $classReflections[0]->isFinal();
+
+		if ($isFinalClass || $constantReflection->isFinal()) {
+			return $constantReflection->getValueType();
+		}
+
+		if (!$constantReflection->hasPhpDocType() && !$constantReflection->hasNativeType()) {
+			return new MixedType();
 		}
 
-		return new ErrorType();
+		return $constantReflection->getValueType();
 	}
 
 	/**
@@ -89,7 +129,7 @@ public function traverseSimultaneously(Type $right, callable $cb): Type
 
 	public function toPhpDocNode(): TypeNode
 	{
-		return new ConstTypeNode(new ConstFetchNode('static', $this->constantName));
+		return new ConstTypeNode(new ConstFetchNode((string) $this->type->toPhpDocNode(), $this->constantName));
 	}
 
 }
diff --git a/tests/PHPStan/Analyser/nsrt/bug-13828.php b/tests/PHPStan/Analyser/nsrt/bug-13828.php
index 551b694536..d854531cfc 100644
--- a/tests/PHPStan/Analyser/nsrt/bug-13828.php
+++ b/tests/PHPStan/Analyser/nsrt/bug-13828.php
@@ -22,8 +22,8 @@ class BarBaz extends FooBar
 
 function test(FooBar $foo, BarBaz $bar): void
 {
-	assertType("'foo'", $foo->test());
-	assertType("'bar'", $bar->test());
+	assertType('mixed', $foo->test());
+	assertType('mixed', $bar->test());
 }
 
 final class FinalFoo
@@ -146,7 +146,7 @@ public function test(): string
 
 function testUntypedConstant(WithUntypedConstant $foo): void
 {
-	assertType("'foo'", $foo->test());
+	assertType('mixed', $foo->test());
 }
 
 final class FinalChild extends FooBar
diff --git a/tests/PHPStan/Analyser/nsrt/bug-14556.php b/tests/PHPStan/Analyser/nsrt/bug-14556.php
new file mode 100644
index 0000000000..79af53005d
--- /dev/null
+++ b/tests/PHPStan/Analyser/nsrt/bug-14556.php
@@ -0,0 +1,33 @@
+<?php
+
+namespace Bug14556;
+
+use function PHPStan\Testing\assertType;
+
+class FooBar
+{
+	const FOO_BAR = 'foo';
+
+	/** @return static::FOO_BAR */
+	public function test(): string
+	{
+		return static::FOO_BAR;
+	}
+}
+
+class BarBaz extends FooBar
+{
+	const FOO_BAR = 'bar';
+}
+
+final class FinalBarBaz extends FooBar
+{
+	const FOO_BAR = 'bar';
+}
+
+function test(FooBar $foo, BarBaz $bar, FinalBarBaz $baz): void
+{
+	assertType('mixed', $foo->test());
+	assertType('mixed', $bar->test());
+	assertType("'bar'", $baz->test());
+}
diff --git a/tests/PHPStan/Analyser/nsrt/bug-6989.php b/tests/PHPStan/Analyser/nsrt/bug-6989.php
index 3ea5dbe4b3..9ce61ee636 100644
--- a/tests/PHPStan/Analyser/nsrt/bug-6989.php
+++ b/tests/PHPStan/Analyser/nsrt/bug-6989.php
@@ -17,7 +17,7 @@ class MyClass
 	 */
 	public function myMethod(array $items1, array $items2, array $items3): array
 	{
-		assertType('array{key: string}', $items1);
+		assertType('non-empty-array<string>', $items1);
 		assertType('array{key: string}', $items2);
 		assertType('array{key: string}', $items3);
 
@@ -40,7 +40,7 @@ class ParentClass extends MyClass
 	 */
 	public function myMethod2(array $items1, array $items2, array $items3, array $items4, array $items5): array
 	{
-		assertType('array{different_key: string}', $items1);
+		assertType('non-empty-array<string>', $items1);
 		assertType('array{different_key: string}', $items2);
 		assertType('array{key: string}', $items3);
 		assertType('array{different_key: string}', $items4);
diff --git a/tests/PHPStan/Type/TypeToPhpDocNodeTest.php b/tests/PHPStan/Type/TypeToPhpDocNodeTest.php
index 3cf9e5f3fa..df83d84957 100644
--- a/tests/PHPStan/Type/TypeToPhpDocNodeTest.php
+++ b/tests/PHPStan/Type/TypeToPhpDocNodeTest.php
@@ -522,6 +522,18 @@ public static function dataToPhpDocNodeWithoutCheckingEquals(): iterable
 			new ConstantFloatType(-0.0),
 			'-0.0',
 		];
+
+		$reflectionProvider = self::createReflectionProvider();
+
+		yield [
+			new ClassConstantAccessType(new StaticType($reflectionProvider->getClass(stdClass::class)), 'FOO'),
+			'static::FOO',
+		];
+
+		yield [
+			new ClassConstantAccessType(new ObjectType('stdClass'), 'FOO'),
+			'stdClass::FOO',
+		];
 	}
 
 	#[DataProvider('dataToPhpDocNodeWithoutCheckingEquals')]