313314929314560 has 576 divisors, whose sum is σ = 1177957528675200. Its totient is φ = 78587625996288.

The previous prime is 313314929314559. The next prime is 313314929314573. The reversal of 313314929314560 is 65413929413313.

313314929314560 is a `hidden beast` number, since 3 + 1 + 3 + 3 + 1 + 49 + 2 + 9 + 31 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×313314929314560³ (a number of 44 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 313314929314497 and 313314929314506.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 961607356 + ... + 961933124.

It is an arithmetic number, because the mean of its divisors is an integer number (2045065153950).

Almost surely, 2^{313314929314560} is an apocalyptic number.

313314929314560 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 313314929314560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588978764337600).

313314929314560 is an abundant number, since it is smaller than the sum of its proper divisors (864642599360640).

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

313314929314560 is a wasteful number, since it uses less digits than its factorization.

313314929314560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327453 (or 327433 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 313314929314560 in words is "three hundred thirteen trillion, three hundred fourteen billion, nine hundred twenty-nine million, three hundred fourteen thousand, five hundred sixty".