313701887444352 has 256 divisors, whose sum is σ = 930304349694720. Its totient is φ = 92836300677120.

The previous prime is 313701887444299. The next prime is 313701887444357. The reversal of 313701887444352 is 253444788107313.

It is a super-2 number, since 2×313701887444352² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313701887444357) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1222799998 + ... + 1223056514.

It is an arithmetic number, because the mean of its divisors is an integer number (3634001365995).

Almost surely, 2^{313701887444352} is an apocalyptic number.

313701887444352 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 313701887444352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465152174847360).

313701887444352 is an abundant number, since it is smaller than the sum of its proper divisors (616602462250368).

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

313701887444352 is a wasteful number, since it uses less digits than its factorization.

313701887444352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263321 (or 263309 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 60.

The spelling of 313701887444352 in words is "three hundred thirteen trillion, seven hundred one billion, eight hundred eighty-seven million, four hundred forty-four thousand, three hundred fifty-two".