31372612467876 has 243 divisors, whose sum is σ = 85337767582249. Its totient is φ = 9716026822656.

The previous prime is 31372612467869. The next prime is 31372612467887. The reversal of 31372612467876 is 67876421627313.

The square root of 31372612467876 is 5601126.

It is a perfect power (a square), and thus also a powerful number.

31372612467876 is a `hidden beast` number, since 3 + 1 + 3 + 7 + 2 + 612 + 4 + 6 + 7 + 8 + 7 + 6 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 30807228781476 + 565383686400 = 5550426^2 + 751920^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 50847021520 + ... + 50847022136.

Almost surely, 2^{31372612467876} is an apocalyptic number.

31372612467876 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

31372612467876 is the 5601126-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31372612467876

31372612467876 is an abundant number, since it is smaller than the sum of its proper divisors (53965155114373).

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

31372612467876 is an equidigital number, since it uses as much as digits as its factorization.

31372612467876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456 (or 728 counting only the distinct ones).

The product of its digits is 85349376, while the sum is 63.

The spelling of 31372612467876 in words is "thirty-one trillion, three hundred seventy-two billion, six hundred twelve million, four hundred sixty-seven thousand, eight hundred seventy-six".