313473825360 has 160 divisors (see below), whose sum is σ = 1079975460480. Its totient is φ = 83575037952.

The previous prime is 313473825331. The next prime is 313473825377. The reversal of 313473825360 is 63528374313.

313473825360 is a `hidden beast` number, since 3 + 1 + 34 + 7 + 3 + 82 + 536 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12262512 + ... + 12288048.

It is an arithmetic number, because the mean of its divisors is an integer number (6749846628).

Almost surely, 2^313473825360 is an apocalyptic number.

313473825360 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 313473825360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539987730240).

313473825360 is an abundant number, since it is smaller than the sum of its proper divisors (766501635120).

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

313473825360 is a wasteful number, since it uses less digits than its factorization.

313473825360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31242 (or 31230 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 313473825360 in words is "three hundred thirteen billion, four hundred seventy-three million, eight hundred twenty-five thousand, three hundred sixty".