31096772296704 has 459 divisors, whose sum is σ = 92234614596943. Its totient is φ = 10095779905536.

The previous prime is 31096772296693. The next prime is 31096772296771. The reversal of 31096772296704 is 40769227769013.

The square root of 31096772296704 is 5576448.

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

31096772296704 is a `hidden beast` number, since 310 + 96 + 7 + 7 + 229 + 6 + 7 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3015251656704 + 28081520640000 = 1736448^2 + 5299200^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 226983739324 + ... + 226983739460.

Almost surely, 2^{31096772296704} is an apocalyptic number.

31096772296704 is the 5576448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31096772296704

31096772296704 is an abundant number, since it is smaller than the sum of its proper divisors (61137842300239).

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

31096772296704 is an frugal number, since it uses more digits than its factorization.

31096772296704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 48009024, while the sum is 63.

The spelling of 31096772296704 in words is "thirty-one trillion, ninety-six billion, seven hundred seventy-two million, two hundred ninety-six thousand, seven hundred four".