31316004864 has 312 divisors, whose sum is σ = 95313359232. Its totient is φ = 10271784960.

The previous prime is 31316004823. The next prime is 31316004871. The reversal of 31316004864 is 46840061313.

It is a happy number.

31316004864 is a `hidden beast` number, since 3 + 1 + 3 + 1 + 600 + 48 + 6 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72658729 + ... + 72659159.

It is an arithmetic number, because the mean of its divisors is an integer number (305491536).

Almost surely, 2^31316004864 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 31316004864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47656679616).

31316004864 is an abundant number, since it is smaller than the sum of its proper divisors (63997354368).

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

31316004864 is an frugal number, since it uses more digits than its factorization.

31316004864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 31316004864 in words is "thirty-one billion, three hundred sixteen million, four thousand, eight hundred sixty-four".