90764859784945 has 16 divisors (see below), whose sum is σ = 112674673362960. Its totient is φ = 70107373606144.

The previous prime is 90764859784933. The next prime is 90764859784987. The reversal of 90764859784945 is 54948795846709.

It can be written as a sum of positive squares in 8 ways, for example, as 189419930176 + 90575439854769 = 435224^2 + 9517113^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-90764859784945 is a prime.

It is a super-2 number, since 2×90764859784945² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12915267 + ... + 18663703.

It is an arithmetic number, because the mean of its divisors is an integer number (7042167085185).

Almost surely, 2^{90764859784945} is an apocalyptic number.

It is an amenable number.

90764859784945 is a deficient number, since it is larger than the sum of its proper divisors (21909813578015).

90764859784945 is a wasteful number, since it uses less digits than its factorization.

90764859784945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5857364.

The product of its (nonzero) digits is 21946982400, while the sum is 85.

The spelling of 90764859784945 in words is "ninety trillion, seven hundred sixty-four billion, eight hundred fifty-nine million, seven hundred eighty-four thousand, nine hundred forty-five".