90856172069334 has 48 divisors (see below), whose sum is σ = 224980868829600. Its totient is φ = 25958481592320.

The previous prime is 90856172069317. The next prime is 90856172069449. The reversal of 90856172069334 is 43396027165809.

90856172069334 is a `hidden beast` number, since 9 + 0 + 8 + 5 + 617 + 2 + 0 + 6 + 9 + 3 + 3 + 4 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1873492 + ... + 13609640.

It is an arithmetic number, because the mean of its divisors is an integer number (4687101433950).

It is a 1-persistent number, because it is pandigital, but 2⋅90856172069334 = 181712344138668 is not.

Almost surely, 2^{90856172069334} is an apocalyptic number.

90856172069334 is an abundant number, since it is smaller than the sum of its proper divisors (134124696760266).

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

90856172069334 is a wasteful number, since it uses less digits than its factorization.

90856172069334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11797605 (or 11797602 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 90856172069334 in words is "ninety trillion, eight hundred fifty-six billion, one hundred seventy-two million, sixty-nine thousand, three hundred thirty-four".