318828863797920 has 864 divisors, whose sum is σ = 1381591899979200. Its totient is φ = 69039625826304.

The previous prime is 318828863797867. The next prime is 318828863797921. The reversal of 318828863797920 is 29797368828813.

318828863797920 is a `hidden beast` number, since 3 + 1 + 8 + 82 + 8 + 86 + 379 + 7 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 318828863797920.

It is not an unprimeable number, because it can be changed into a prime (318828863797921) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31793236 + ... + 40601324.

It is an arithmetic number, because the mean of its divisors is an integer number (1599064699050).

Almost surely, 2^{318828863797920} is an apocalyptic number.

318828863797920 is a gapful number since it is divisible by the number (30) 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 318828863797920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690795949989600).

318828863797920 is an abundant number, since it is smaller than the sum of its proper divisors (1062763036181280).

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

318828863797920 is a wasteful number, since it uses less digits than its factorization.

318828863797920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8808152 (or 8808125 counting only the distinct ones).

The product of its (nonzero) digits is 3511517184, while the sum is 81.

The spelling of 318828863797920 in words is "three hundred eighteen trillion, eight hundred twenty-eight billion, eight hundred sixty-three million, seven hundred ninety-seven thousand, nine hundred twenty".