313557441444 has 135 divisors (see below), whose sum is σ = 887976393843. Its totient is φ = 96438895488.

The previous prime is 313557441433. The next prime is 313557441469. The reversal of 313557441444 is 444144755313.

The square root of 313557441444 is 559962.

It is a perfect power (a square), and thus also a powerful number.

313557441444 is a `hidden beast` number, since 3 + 1 + 3 + 557 + 44 + 14 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 230820671844 + 82736769600 = 480438^2 + 287640^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 313557441444.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 131029912 + ... + 131032304.

Almost surely, 2^313557441444 is an apocalyptic number.

313557441444 is the 559962-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313557441444

313557441444 is an abundant number, since it is smaller than the sum of its proper divisors (574418952399).

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

313557441444 is an equidigital number, since it uses as much as digits as its factorization.

313557441444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4828 (or 2411 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 45.

The spelling of 313557441444 in words is "three hundred thirteen billion, five hundred fifty-seven million, four hundred forty-one thousand, four hundred forty-four".