9257164398792 has 84 divisors (see below), whose sum is σ = 26024523291585. Its totient is φ = 3085644015360.

The previous prime is 9257164398767. The next prime is 9257164398817. The reversal of 9257164398792 is 2978934617529.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

9257164398792 is a `hidden beast` number, since 9 + 2 + 5 + 7 + 164 + 398 + 79 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (9257164398767) and next prime (9257164398817).

It can be written as a sum of positive squares in 2 ways, for example, as 8823787076196 + 433377322596 = 2970486^2 + 658314^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2151414.

It is a super-2 number, since 2×9257164398792² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 9257164398792.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 232332792 + ... + 232372632.

Almost surely, 2^{9257164398792} is an apocalyptic number.

It is an amenable number.

9257164398792 is an abundant number, since it is smaller than the sum of its proper divisors (16767358892793).

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

9257164398792 is an frugal number, since it uses more digits than its factorization.

9257164398792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79706 (or 39846 counting only the distinct ones).

The product of its digits is 411505920, while the sum is 72.

Multiplying 9257164398792 by its sum of digits (72), we get a square (666515836713024 = 25816968²).

9257164398792 divided by its sum of digits (72) gives a square (128571727761 = 358569²).

The spelling of 9257164398792 in words is "nine trillion, two hundred fifty-seven billion, one hundred sixty-four million, three hundred ninety-eight thousand, seven hundred ninety-two".