90977037376 has 63 divisors (see below), whose sum is σ = 185725951509. Its totient is φ = 44215665408.

The previous prime is 90977037227. The next prime is 90977037383. The reversal of 90977037376 is 67373077909.

The square root of 90977037376 is 301624.

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., 81407502400 + 9569534976 = 285320^2 + 97824^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 90977037376.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 89280195 + ... + 89281213.

Almost surely, 2^90977037376 is an apocalyptic number.

90977037376 is the 301624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90977037376

90977037376 is an abundant number, since it is smaller than the sum of its proper divisors (94748914133).

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

90977037376 is an frugal number, since it uses more digits than its factorization.

90977037376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 10501974, while the sum is 58.

The spelling of 90977037376 in words is "ninety billion, nine hundred seventy-seven million, thirty-seven thousand, three hundred seventy-six".