313626467329312 has 96 divisors (see below), whose sum is σ = 645375919507200. Its totient is φ = 149744330588160.

The previous prime is 313626467329213. The next prime is 313626467329321. The reversal of 313626467329312 is 213923764626313.

It is a super-2 number, since 2×313626467329312² (a number of 30 digits) contains 22 as substring.

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, 7055850064 + ... + 7055894512.

It is an arithmetic number, because the mean of its divisors is an integer number (6722665828200).

Almost surely, 2^{313626467329312} is an apocalyptic number.

313626467329312 is a gapful number since it is divisible by the number (32) 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 313626467329312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322687959753600).

313626467329312 is an abundant number, since it is smaller than the sum of its proper divisors (331749452177888).

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

313626467329312 is a wasteful number, since it uses less digits than its factorization.

313626467329312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60306 (or 60298 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 58.

The spelling of 313626467329312 in words is "three hundred thirteen trillion, six hundred twenty-six billion, four hundred sixty-seven million, three hundred twenty-nine thousand, three hundred twelve".