313067064960 has 1536 divisors, whose sum is σ = 1290193920000. Its totient is φ = 71545503744.

The previous prime is 313067064941. The next prime is 313067064991. The reversal of 313067064960 is 69460760313.

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 191 ways as a sum of consecutive naturals, for example, 3962874201 + ... + 3962874279.

It is an arithmetic number, because the mean of its divisors is an integer number (839970000).

Almost surely, 2^313067064960 is an apocalyptic number.

313067064960 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 313067064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645096960000).

313067064960 is an abundant number, since it is smaller than the sum of its proper divisors (977126855040).

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

313067064960 is a wasteful number, since it uses less digits than its factorization.

313067064960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 313067064960 in words is "three hundred thirteen billion, sixty-seven million, sixty-four thousand, nine hundred sixty".