313790456448 has 384 divisors, whose sum is σ = 1094941635840. Its totient is φ = 84204748800.

The previous prime is 313790456411. The next prime is 313790456509. The reversal of 313790456448 is 844654097313.

313790456448 is a `hidden beast` number, since 3 + 1 + 3 + 79 + 0 + 4 + 564 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 313790456394 and 313790456403.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74162493 + ... + 74166723.

It is an arithmetic number, because the mean of its divisors is an integer number (2851410510).

Almost surely, 2^313790456448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313790456448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547470817920).

313790456448 is an abundant number, since it is smaller than the sum of its proper divisors (781151179392).

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

313790456448 is a wasteful number, since it uses less digits than its factorization.

313790456448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4816 (or 4801 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 313790456448 in words is "three hundred thirteen billion, seven hundred ninety million, four hundred fifty-six thousand, four hundred forty-eight".