9312372956160 has 440 divisors, whose sum is σ = 35333263888560. Its totient is φ = 2337221246976.

The previous prime is 9312372956153. The next prime is 9312372956191. The reversal of 9312372956160 is 616592732139.

9312372956160 is a `hidden beast` number, since 9 + 3 + 1 + 2 + 3 + 72 + 9 + 561 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9312372956097 and 9312372956106.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 6389811 + ... + 7710669.

It is an arithmetic number, because the mean of its divisors is an integer number (80302872474).

Almost surely, 2^{9312372956160} is an apocalyptic number.

9312372956160 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9312372956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17666631944280).

9312372956160 is an abundant number, since it is smaller than the sum of its proper divisors (26020890932400).

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

9312372956160 is a wasteful number, since it uses less digits than its factorization.

9312372956160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320913 (or 1320886 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 9312372956160 in words is "nine trillion, three hundred twelve billion, three hundred seventy-two million, nine hundred fifty-six thousand, one hundred sixty".