313903616544 has 1152 divisors, whose sum is σ = 1198026547200. Its totient is φ = 79543005696.

The previous prime is 313903616527. The next prime is 313903616549. The reversal of 313903616544 is 445616309313.

It is a happy number.

313903616544 is a `hidden beast` number, since 3 + 1 + 3 + 90 + 3 + 6 + 16 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 313903616544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313903616549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6678800329 + ... + 6678800375.

It is an arithmetic number, because the mean of its divisors is an integer number (1039953600).

Almost surely, 2^313903616544 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 313903616544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599013273600).

313903616544 is an abundant number, since it is smaller than the sum of its proper divisors (884122930656).

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

313903616544 is a wasteful number, since it uses less digits than its factorization.

313903616544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 313903616544 in words is "three hundred thirteen billion, nine hundred three million, six hundred sixteen thousand, five hundred forty-four".