90772141566312 has 96 divisors (see below), whose sum is σ = 246624629191200. Its totient is φ = 30160966649472.

The previous prime is 90772141566289. The next prime is 90772141566317. The reversal of 90772141566312 is 21366514127709.

90772141566312 is a `hidden beast` number, since 9 + 0 + 7 + 7 + 2 + 1 + 41 + 566 + 31 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (90772141566317) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1263021403 + ... + 1263093269.

It is an arithmetic number, because the mean of its divisors is an integer number (2569006554075).

Almost surely, 2^{90772141566312} is an apocalyptic number.

It is an amenable number.

90772141566312 is an abundant number, since it is smaller than the sum of its proper divisors (155852487624888).

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

90772141566312 is a wasteful number, since it uses less digits than its factorization.

90772141566312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127535 (or 127528 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 90772141566312 in words is "ninety trillion, seven hundred seventy-two billion, one hundred forty-one million, five hundred sixty-six thousand, three hundred twelve".