313144994664 has 96 divisors (see below), whose sum is σ = 887996753280. Its totient is φ = 99502415232.

The previous prime is 313144994623. The next prime is 313144994707. The reversal of 313144994664 is 466499441313.

313144994664 is a `hidden beast` number, since 3 + 131 + 4 + 49 + 9 + 466 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 313144994664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162517 + ... + 807899.

It is an arithmetic number, because the mean of its divisors is an integer number (9249966180).

Almost surely, 2^313144994664 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 313144994664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443998376640).

313144994664 is an abundant number, since it is smaller than the sum of its proper divisors (574851758616).

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

313144994664 is a wasteful number, since it uses less digits than its factorization.

313144994664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645711 (or 645704 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The spelling of 313144994664 in words is "three hundred thirteen billion, one hundred forty-four million, nine hundred ninety-four thousand, six hundred sixty-four".