Almost Heaven Cake

1 box yellow cake mix
20 oz. crushed pineapple
1 box instant vanilla pudding, 4-serving size
2 cups cold milk
8 oz. cream cheese, softened
12 oz. frozen whipped topping, such as Cool Whip thawed

Preparation  for this cake 
Prepare the cake mix as directed on the package. Bake in a 9" x 13" oblong cake pan. 
After baking, while the cake is still warm, using a fork, poke many holes in the cake. 
Pour the undrained crushed pineapple over the hot cake. Prepare the instant pudding with the milk. 
Add the cream cheese, a small amount at a time, and mix until well blended. 
Spread on the cake, on top of the pineapple. Spread the whipped topping on top. 
Refrigerate for at least one hour before serving. Store, covered, in the refrigerator.