31611492864 has 640 divisors, whose sum is σ = 112205913600. Its totient is φ = 8707129344.

The previous prime is 31611492823. The next prime is 31611492883. The reversal of 31611492864 is 46829411613.

31611492864 is a `hidden beast` number, since 3 + 1 + 611 + 4 + 9 + 28 + 6 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (248832) is a multiple of the sum of its prime factors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 290013642 + ... + 290013750.

It is an arithmetic number, because the mean of its divisors is an integer number (175321740).

Almost surely, 2^31611492864 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 31611492864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56102956800).

31611492864 is an abundant number, since it is smaller than the sum of its proper divisors (80594420736).

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

31611492864 is an frugal number, since it uses more digits than its factorization.

31611492864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 158 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 31611492864 in words is "thirty-one billion, six hundred eleven million, four hundred ninety-two thousand, eight hundred sixty-four".