313064247328 has 216 divisors, whose sum is σ = 744167081196. Its totient is φ = 129261726720.

The previous prime is 313064247289. The next prime is 313064247329. The reversal of 313064247328 is 823742460313.

It can be written as a sum of positive squares in 2 ways, for example, as 298085424784 + 14978822544 = 545972^2 + 122388^2 .

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (313064247329) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 562054026 + ... + 562054582.

Almost surely, 2^313064247328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313064247328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372083540598).

313064247328 is an abundant number, since it is smaller than the sum of its proper divisors (431102833868).

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

313064247328 is a wasteful number, since it uses less digits than its factorization.

313064247328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 43.

The spelling of 313064247328 in words is "three hundred thirteen billion, sixty-four million, two hundred forty-seven thousand, three hundred twenty-eight".