31213638468432 has 320 divisors, whose sum is σ = 110629722816000. Its totient is φ = 8393582776320.

The previous prime is 31213638468421. The next prime is 31213638468461. The reversal of 31213638468432 is 23486483631213.

31213638468432 is a `hidden beast` number, since 3 + 1 + 2 + 13 + 63 + 84 + 68 + 432 = 666.

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 congruent number.

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 63 ways as a sum of consecutive naturals, for example, 3676669 + ... + 8714652.

It is an arithmetic number, because the mean of its divisors is an integer number (345717883800).

Almost surely, 2^{31213638468432} is an apocalyptic number.

It is an amenable number.

31213638468432 is an abundant number, since it is smaller than the sum of its proper divisors (79416084347568).

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

31213638468432 is a wasteful number, since it uses less digits than its factorization.

31213638468432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12391376 (or 12391350 counting only the distinct ones).

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

The spelling of 31213638468432 in words is "thirty-one trillion, two hundred thirteen billion, six hundred thirty-eight million, four hundred sixty-eight thousand, four hundred thirty-two".