In a mixing bowl with an electric hand mixer, cream together cream cheese and granulated sugar using an electric hand mixer until smooth.
Add in vanilla extract, pumpkin puree, and pumpkin pie spice on continue to mix until well combined.
In a separate mixing bowl, whip together heavy cream and powdered sugar on medium-high speed using an electric hand mixer until stiff peaks form.
Add the whipped cream to the pumpkin cream cheese mixture and mix on the lowest speed of the hand mixer until just combined. Scrape the sides and bottom of the bowl to ensure everything is well incorporated. Do not overmix the filling.
Pour the cheesecake filling into the chilled crust and spread evenly using a small offset spatula.
Chill the cheesecake for at least 6 hours. Cover the pan with plastic wrap or aluminum foil to prevent the cheesecake from drying out.