313472744160 has 96 divisors (see below), whose sum is σ = 991571051520. Its totient is φ = 83242940928.

The previous prime is 313472744149. The next prime is 313472744191. The reversal of 313472744160 is 61447274313.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×313472744160³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1251532 + ... + 1480971.

It is an arithmetic number, because the mean of its divisors is an integer number (10328865120).

Almost surely, 2^313472744160 is an apocalyptic number.

313472744160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313472744160 is an abundant number, since it is smaller than the sum of its proper divisors (678098307360).

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

313472744160 is a wasteful number, since it uses less digits than its factorization.

313472744160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2732760 (or 2732752 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 313472744160 in words is "three hundred thirteen billion, four hundred seventy-two million, seven hundred forty-four thousand, one hundred sixty".