313059645440 has 192 divisors, whose sum is σ = 791926087680. Its totient is φ = 118600335360.

The previous prime is 313059645433. The next prime is 313059645449. The reversal of 313059645440 is 44546950313.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 313059645391 and 313059645400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313059645449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14909189 + ... + 14930171.

It is an arithmetic number, because the mean of its divisors is an integer number (4124615040).

Almost surely, 2^313059645440 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 313059645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395963043840).

313059645440 is an abundant number, since it is smaller than the sum of its proper divisors (478866442240).

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

313059645440 is a wasteful number, since it uses less digits than its factorization.

313059645440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21088 (or 21068 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 44.

The spelling of 313059645440 in words is "three hundred thirteen billion, fifty-nine million, six hundred forty-five thousand, four hundred forty".