313614978432 has 256 divisors, whose sum is σ = 974699205120. Its totient is φ = 87488593920.

The previous prime is 313614978407. The next prime is 313614978517. The reversal of 313614978432 is 234879416313.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30054688 + ... + 30065120.

It is an arithmetic number, because the mean of its divisors is an integer number (3807418770).

Almost surely, 2^313614978432 is an apocalyptic number.

313614978432 is a gapful number since it is divisible by the number (32) 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 313614978432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487349602560).

313614978432 is an abundant number, since it is smaller than the sum of its proper divisors (661084226688).

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

313614978432 is a wasteful number, since it uses less digits than its factorization.

313614978432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10721 (or 10709 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 51.

The spelling of 313614978432 in words is "three hundred thirteen billion, six hundred fourteen million, nine hundred seventy-eight thousand, four hundred thirty-two".