31882348463328 has 672 divisors, whose sum is σ = 103793539449600. Its totient is φ = 9635189034240.

The previous prime is 31882348463279. The next prime is 31882348463347. The reversal of 31882348463328 is 82336484328813.

31882348463328 is a `hidden beast` number, since 3 + 1 + 88 + 23 + 48 + 463 + 32 + 8 = 666.

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 polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 13630759183 + ... + 13630761521.

It is an arithmetic number, because the mean of its divisors is an integer number (154454671800).

Almost surely, 2^{31882348463328} 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 31882348463328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51896769724800).

31882348463328 is an abundant number, since it is smaller than the sum of its proper divisors (71911190986272).

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

31882348463328 is an equidigital number, since it uses as much as digits as its factorization.

31882348463328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2839 (or 2794 counting only the distinct ones).

The product of its digits is 127401984, while the sum is 63.

The spelling of 31882348463328 in words is "thirty-one trillion, eight hundred eighty-two billion, three hundred forty-eight million, four hundred sixty-three thousand, three hundred twenty-eight".