313711139452464 has 640 divisors, whose sum is σ = 979423872860160. Its totient is φ = 95568121036800.

The previous prime is 313711139452433. The next prime is 313711139452471. The reversal of 313711139452464 is 464254931117313.

313711139452464 is a `hidden beast` number, since 3 + 1 + 3 + 7 + 1 + 1 + 1 + 394 + 5 + 246 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 313711139452464.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 321096355144 + ... + 321096356120.

It is an arithmetic number, because the mean of its divisors is an integer number (1530349801344).

Almost surely, 2^{313711139452464} 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 313711139452464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489711936430080).

313711139452464 is an abundant number, since it is smaller than the sum of its proper divisors (665712733407696).

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

313711139452464 is a wasteful number, since it uses less digits than its factorization.

313711139452464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306 (or 2294 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 313711139452464 in words is "three hundred thirteen trillion, seven hundred eleven billion, one hundred thirty-nine million, four hundred fifty-two thousand, four hundred sixty-four".