7931131245972 has 144 divisors (see below), whose sum is σ = 23159551326912. Its totient is φ = 2261769200640.

The previous prime is 7931131245883. The next prime is 7931131245979. The reversal of 7931131245972 is 2795421311397.

7931131245972 is a `hidden beast` number, since 7 + 9 + 3 + 11 + 31 + 2 + 4 + 597 + 2 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7931131245979) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73102438 + ... + 73210850.

It is an arithmetic number, because the mean of its divisors is an integer number (160830217548).

Almost surely, 2^{7931131245972} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7931131245972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11579775663456).

7931131245972 is an abundant number, since it is smaller than the sum of its proper divisors (15228420080940).

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

7931131245972 is a wasteful number, since it uses less digits than its factorization.

7931131245972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119318 (or 119313 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The spelling of 7931131245972 in words is "seven trillion, nine hundred thirty-one billion, one hundred thirty-one million, two hundred forty-five thousand, nine hundred seventy-two".