313707921408 has 1088 divisors, whose sum is σ = 1181106995200. Its totient is φ = 80263249920.

The previous prime is 313707921407. The next prime is 313707921493. The reversal of 313707921408 is 804129707313.

It is not an unprimeable number, because it can be changed into a prime (313707921403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7295533035 + ... + 7295533077.

Almost surely, 2^313707921408 is an apocalyptic number.

313707921408 is a gapful number since it is divisible by the number (38) 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 313707921408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590553497600).

313707921408 is an abundant number, since it is smaller than the sum of its proper divisors (867399073792).

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

313707921408 is an equidigital number, since it uses as much as digits as its factorization.

313707921408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 313707921408 in words is "three hundred thirteen billion, seven hundred seven million, nine hundred twenty-one thousand, four hundred eight".