316386749952 has 1920 divisors, whose sum is σ = 1295717068800. Its totient is φ = 75246796800.

The previous prime is 316386749929. The next prime is 316386749963. The reversal of 316386749952 is 259947683613.

316386749952 is a `hidden beast` number, since 3 + 1 + 6 + 38 + 67 + 499 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 316386749952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5186668002 + ... + 5186668062.

It is an arithmetic number, because the mean of its divisors is an integer number (674852640).

Almost surely, 2^316386749952 is an apocalyptic number.

316386749952 is a gapful number since it is divisible by the number (32) 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 316386749952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647858534400).

316386749952 is an abundant number, since it is smaller than the sum of its proper divisors (979330318848).

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

316386749952 is a wasteful number, since it uses less digits than its factorization.

316386749952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 136 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 316386749952 in words is "three hundred sixteen billion, three hundred eighty-six million, seven hundred forty-nine thousand, nine hundred fifty-two".