313986816 has 216 divisors, whose sum is σ = 1064686896. Its totient is φ = 87736320.

The previous prime is 313986811. The next prime is 313986851. The reversal of 313986816 is 618689313.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313986811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328996 + ... + 329948.

It is an arithmetic number, because the mean of its divisors is an integer number (4929106).

Almost surely, 2^313986816 is an apocalyptic number.

313986816 is a gapful number since it is divisible by the number (36) 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 313986816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532343448).

313986816 is an abundant number, since it is smaller than the sum of its proper divisors (750700080).

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

313986816 is a wasteful number, since it uses less digits than its factorization.

313986816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 982 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 313986816 is about 17719.6731346828. The cubic root of 313986816 is about 679.6789257008.

The spelling of 313986816 in words is "three hundred thirteen million, nine hundred eighty-six thousand, eight hundred sixteen".