31856112864 has 240 divisors, whose sum is σ = 102403357056. Its totient is φ = 9671270400.

The previous prime is 31856112863. The next prime is 31856112919. The reversal of 31856112864 is 46821165813.

31856112864 is a `hidden beast` number, since 3 + 1 + 8 + 5 + 611 + 28 + 6 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31856112863) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1354324 + ... + 1377644.

Almost surely, 2^31856112864 is an apocalyptic number.

31856112864 is a gapful number since it is divisible by the number (34) 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 31856112864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51201678528).

31856112864 is an abundant number, since it is smaller than the sum of its proper divisors (70547244192).

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

31856112864 is a wasteful number, since it uses less digits than its factorization.

31856112864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23391 (or 23374 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 31856112864 in words is "thirty-one billion, eight hundred fifty-six million, one hundred twelve thousand, eight hundred sixty-four".