90964972816 has 15 divisors (see below), whose sum is σ = 176246972293. Its totient is φ = 45481883200.

The previous prime is 90964972789. The next prime is 90964972849. The reversal of 90964972816 is 61827946909.

The square root of 90964972816 is 301604.

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

It can be written as a sum of positive squares in only one way, i.e., 31896531216 + 59068441600 = 178596^2 + 243040^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1168716 + ... + 1244116.

Almost surely, 2^90964972816 is an apocalyptic number.

90964972816 is the 301604-th square number.

It is an amenable number.

90964972816 is a deficient number, since it is larger than the sum of its proper divisors (85281999477).

90964972816 is an frugal number, since it uses more digits than its factorization.

90964972816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150810 (or 75403 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 61.

The spelling of 90964972816 in words is "ninety billion, nine hundred sixty-four million, nine hundred seventy-two thousand, eight hundred sixteen".