31613036921856 has 2816 divisors, whose sum is σ = 116378368081920. Its totient is φ = 8380502507520.

The previous prime is 31613036921819. The next prime is 31613036921867. The reversal of 31613036921856 is 65812963031613.

31613036921856 is a `hidden beast` number, since 3 + 1 + 6 + 13 + 0 + 369 + 218 + 56 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 471836371935 + ... + 471836372001.

Almost surely, 2^{31613036921856} is an apocalyptic number.

31613036921856 is a gapful number since it is divisible by the number (36) 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 31613036921856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58189184040960).

31613036921856 is an abundant number, since it is smaller than the sum of its proper divisors (84765331160064).

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

31613036921856 is a wasteful number, since it uses less digits than its factorization.

31613036921856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 31613036921856 in words is "thirty-one trillion, six hundred thirteen billion, thirty-six million, nine hundred twenty-one thousand, eight hundred fifty-six".