313796553854400 has 336 divisors, whose sum is σ = 1204110171302400. Its totient is φ = 79274918661120.

The previous prime is 313796553854389. The next prime is 313796553854401. The reversal of 313796553854400 is 4458355697313.

It is a happy number.

313796553854400 is a `hidden beast` number, since 3 + 1 + 3 + 7 + 9 + 6 + 5 + 538 + 54 + 40 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313796553854401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190332072 + ... + 191973671.

Almost surely, 2^{313796553854400} is an apocalyptic number.

313796553854400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313796553854400 is an abundant number, since it is smaller than the sum of its proper divisors (890313617448000).

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

313796553854400 is a wasteful number, since it uses less digits than its factorization.

313796553854400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382305793 (or 382305772 counting only the distinct ones).

The product of its (nonzero) digits is 163296000, while the sum is 63.

The spelling of 313796553854400 in words is "three hundred thirteen trillion, seven hundred ninety-six billion, five hundred fifty-three million, eight hundred fifty-four thousand, four hundred".