31213283834664 has 160 divisors (see below), whose sum is σ = 87987889440000. Its totient is φ = 10337715704448.

The previous prime is 31213283834659. The next prime is 31213283834737. The reversal of 31213283834664 is 46643838231213.

31213283834664 is a `hidden beast` number, since 3 + 1 + 2 + 13 + 283 + 8 + 346 + 6 + 4 = 666.

31213283834664 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 31213283834664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 92548162 + ... + 92884814.

It is an arithmetic number, because the mean of its divisors is an integer number (549924309000).

Almost surely, 2^{31213283834664} 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 31213283834664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43993944720000).

31213283834664 is an abundant number, since it is smaller than the sum of its proper divisors (56774605605336).

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

31213283834664 is a wasteful number, since it uses less digits than its factorization.

31213283834664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337589 (or 337576 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The spelling of 31213283834664 in words is "thirty-one trillion, two hundred thirteen billion, two hundred eighty-three million, eight hundred thirty-four thousand, six hundred sixty-four".