31172004864 has 1056 divisors, whose sum is σ = 125893447680. Its totient is φ = 7166361600.

The previous prime is 31172004859. The next prime is 31172004869. The reversal of 31172004864 is 46840027113.

31172004864 is a `hidden beast` number, since 3 + 1 + 172 + 0 + 0 + 486 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (31172004859) and next prime (31172004869).

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (31172004869) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 285981642 + ... + 285981750.

It is an arithmetic number, because the mean of its divisors is an integer number (119217280).

Almost surely, 2^31172004864 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 31172004864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62946723840).

31172004864 is an abundant number, since it is smaller than the sum of its proper divisors (94721442816).

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

31172004864 is a wasteful number, since it uses less digits than its factorization.

31172004864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 31172004864 in words is "thirty-one billion, one hundred seventy-two million, four thousand, eight hundred sixty-four".