Calculator's worst enemy

Largest 4 digit square = $99^2$ = $9801$ . There is one 9 and one 0 surrounding 8 and 1 in the end.

Largest 6 digit square = $999^2$ = $998001$ . There are two 9 and two 0 surrounding 8 ad 1 in the end.

Largest 8 digit square = $9999^2$ = $99980001$ . There are three 9 and three 0 surrounding 8 and 1 in the end.

So, largest 32 digit square = $9999999999999999^2$ . It will have fifteen 9 and fifteen 0 surrounding 8 and 1 in the end.
= $\Huge {\color{#EC7300}{99999999999999980000000000000001}}$