8963101896336 has 405 divisors, whose sum is σ = 30245121845211. Its totient is φ = 2470567970304.

The previous prime is 8963101896317. The next prime is 8963101896337. The reversal of 8963101896336 is 6336981013698.

The square root of 8963101896336 is 2993844.

It is a perfect power (a square), and thus also a powerful number.

8963101896336 is a `hidden beast` number, since 8 + 96 + 31 + 0 + 189 + 6 + 336 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3681194798736 + 5281907097600 = 1918644^2 + 2298240^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (8963101896337) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7293003370 + ... + 7293004598.

Almost surely, 2^{8963101896336} is an apocalyptic number.

8963101896336 is the 2993844-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8963101896336

8963101896336 is an abundant number, since it is smaller than the sum of its proper divisors (21282019948875).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8963101896336 is a wasteful number, since it uses less digits than its factorization.

8963101896336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2544 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 63.

The spelling of 8963101896336 in words is "eight trillion, nine hundred sixty-three billion, one hundred one million, eight hundred ninety-six thousand, three hundred thirty-six".