31112916480 has 800 divisors, whose sum is σ = 120317076000. Its totient is φ = 7660044288.

The previous prime is 31112916473. The next prime is 31112916511. The reversal of 31112916480 is 8461921113.

31112916480 is a `hidden beast` number, since 3 + 1 + 1 + 1 + 2 + 9 + 1 + 648 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 208811446 + ... + 208811594.

It is an arithmetic number, because the mean of its divisors is an integer number (150396345).

Almost surely, 2^31112916480 is an apocalyptic number.

31112916480 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 31112916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60158538000).

31112916480 is an abundant number, since it is smaller than the sum of its proper divisors (89204159520).

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

31112916480 is a wasteful number, since it uses less digits than its factorization.

31112916480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 31112916480 in words is "thirty-one billion, one hundred twelve million, nine hundred sixteen thousand, four hundred eighty".