313618816 has 96 divisors (see below), whose sum is σ = 750703680. Its totient is φ = 129991680.

The previous prime is 313618813. The next prime is 313618817. The reversal of 313618816 is 618816313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313618813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 193626 + ... + 195238.

It is an arithmetic number, because the mean of its divisors is an integer number (7819830).

Almost surely, 2^313618816 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 313618816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375351840).

313618816 is an abundant number, since it is smaller than the sum of its proper divisors (437084864).

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

313618816 is a wasteful number, since it uses less digits than its factorization.

313618816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1653 counting only the distinct ones).

The product of its digits is 20736, while the sum is 37.

The square root of 313618816 is about 17709.2861516211. The cubic root of 313618816 is about 679.4132886190.

It can be divided in two parts, 3136 and 18816, that added together give a cube (21952 = 28³).

The spelling of 313618816 in words is "three hundred thirteen million, six hundred eighteen thousand, eight hundred sixteen".