313895608320 has 448 divisors, whose sum is σ = 1163848320000. Its totient is φ = 70750568448.

The previous prime is 313895608319. The next prime is 313895608339. The reversal of 313895608320 is 23806598313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 313895608320.

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, 62789181 + ... + 62794179.

Almost surely, 2^313895608320 is an apocalyptic number.

313895608320 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 313895608320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581924160000).

313895608320 is an abundant number, since it is smaller than the sum of its proper divisors (849952711680).

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

313895608320 is an equidigital number, since it uses as much as digits as its factorization.

313895608320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5113 (or 5089 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 313895608320 in words is "three hundred thirteen billion, eight hundred ninety-five million, six hundred eight thousand, three hundred twenty".