How can I calculate or think about the large number 32768^1049088? I decided to ask myself how many different images my laptop's screen could display.  I came up with (number of colors)^(number of pixels) so assuming 32768 colors I'm trying to get my head around the number, but I have a feeling it's too big to actually calculate.
Am I right that it's too big to calculate?  If not, then how?  If so then how would you approach grasping the magnitude?
Update: I realized a simpler way to get the same number is 2^(number of bits of video RAM) or "all the possible configurations of video RAM" - correct me if I'm wrong.

Your original number is
$2^{15*2^{20}}
<2^{2^{24}}
< 10^{2^{21}}< 10^{3*10^6}
$
which is certainly computable
since it has less than
3,000,000 digits.
The new, larger number is
$2^{24*2^{20}}
<2^{2^{25}}
< 10^{2^{22}}< 10^{6*10^6}
$
which is still computable
since it has less than
6,000,000 digits.
