31672088816256 has 640 divisors, whose sum is σ = 112002346684800. Its totient is φ = 8692663246848.

The previous prime is 31672088816209. The next prime is 31672088816261. The reversal of 31672088816256 is 65261888027613.

31672088816256 is a `hidden beast` number, since 3 + 167 + 208 + 8 + 8 + 16 + 256 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 31672088816193 and 31672088816202.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 414588495 + ... + 414664881.

It is an arithmetic number, because the mean of its divisors is an integer number (175003666695).

Almost surely, 2^{31672088816256} is an apocalyptic number.

31672088816256 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 31672088816256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56001173342400).

31672088816256 is an abundant number, since it is smaller than the sum of its proper divisors (80330257868544).

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

31672088816256 is a wasteful number, since it uses less digits than its factorization.

31672088816256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76646 (or 76625 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 31672088816256 in words is "thirty-one trillion, six hundred seventy-two billion, eighty-eight million, eight hundred sixteen thousand, two hundred fifty-six".