313107356994432 has 3072 divisors, whose sum is σ = 1219776649297920. Its totient is φ = 69065279078400.

The previous prime is 313107356994403. The next prime is 313107356994511. The reversal of 313107356994432 is 234499653701313.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 278813318223 + ... + 278813319345.

It is an arithmetic number, because the mean of its divisors is an integer number (397062711360).

Almost surely, 2^{313107356994432} is an apocalyptic number.

313107356994432 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 313107356994432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609888324648960).

313107356994432 is an abundant number, since it is smaller than the sum of its proper divisors (906669292303488).

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

313107356994432 is a wasteful number, since it uses less digits than its factorization.

313107356994432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 60.

The spelling of 313107356994432 in words is "three hundred thirteen trillion, one hundred seven billion, three hundred fifty-six million, nine hundred ninety-four thousand, four hundred thirty-two".