31914002371680 has 1440 divisors, whose sum is σ = 136647091028448. Its totient is φ = 6948384768000.

The previous prime is 31914002371633. The next prime is 31914002371747. The reversal of 31914002371680 is 8617320041913.

31914002371680 is a `hidden beast` number, since 3 + 1 + 9 + 1 + 400 + 237 + 1 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 891409780 + ... + 891445580.

Almost surely, 2^{31914002371680} is an apocalyptic number.

31914002371680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31914002371680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68323545514224).

31914002371680 is an abundant number, since it is smaller than the sum of its proper divisors (104733088656768).

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

31914002371680 is a wasteful number, since it uses less digits than its factorization.

31914002371680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35902 (or 35872 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 31914002371680 in words is "thirty-one trillion, nine hundred fourteen billion, two million, three hundred seventy-one thousand, six hundred eighty".