313606414252096 has 315 divisors, whose sum is σ = 755500391968635. Its totient is φ = 128779382592000.

The previous prime is 313606414252049. The next prime is 313606414252111. The reversal of 313606414252096 is 690252414606313.

The square root of 313606414252096 is 17708936.

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

It can be written as a sum of positive squares in 2 ways, for example, as 266346839058496 + 47259575193600 = 16320136^2 + 6874560^2 .

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, 3105014002446 + ... + 3105014002546.

Almost surely, 2^{313606414252096} is an apocalyptic number.

313606414252096 is the 17708936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313606414252096

313606414252096 is an abundant number, since it is smaller than the sum of its proper divisors (441893977716539).

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

313606414252096 is an frugal number, since it uses more digits than its factorization.

313606414252096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 52.

The spelling of 313606414252096 in words is "three hundred thirteen trillion, six hundred six billion, four hundred fourteen million, two hundred fifty-two thousand, ninety-six".