313884972720 has 400 divisors, whose sum is σ = 1195895020320. Its totient is φ = 75669811200.

The previous prime is 313884972703. The next prime is 313884972733. The reversal of 313884972720 is 27279488313.

313884972720 is a `hidden beast` number, since 3 + 1 + 3 + 88 + 497 + 2 + 72 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12889516 + ... + 12913844.

Almost surely, 2^313884972720 is an apocalyptic number.

313884972720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313884972720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597947510160).

313884972720 is an abundant number, since it is smaller than the sum of its proper divisors (882010047600).

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

313884972720 is a wasteful number, since it uses less digits than its factorization.

313884972720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24546 (or 24531 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 313884972720 in words is "three hundred thirteen billion, eight hundred eighty-four million, nine hundred seventy-two thousand, seven hundred twenty".