313242064560 has 120 divisors (see below), whose sum is σ = 1053677738880. Its totient is φ = 83395716096.

The previous prime is 313242064517. The next prime is 313242064561. The reversal of 313242064560 is 65460242313.

313242064560 is a `hidden beast` number, since 3 + 1 + 3 + 2 + 4 + 2 + 0 + 645 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×313242064560² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (313242064561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91681 + ... + 796799.

It is an arithmetic number, because the mean of its divisors is an integer number (8780647824).

Almost surely, 2^313242064560 is an apocalyptic number.

313242064560 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 313242064560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526838869440).

313242064560 is an abundant number, since it is smaller than the sum of its proper divisors (740435674320).

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

313242064560 is a wasteful number, since it uses less digits than its factorization.

313242064560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705755 (or 705746 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 313242064560 in words is "three hundred thirteen billion, two hundred forty-two million, sixty-four thousand, five hundred sixty".