318865468320 has 480 divisors, whose sum is σ = 1288037697408. Its totient is φ = 72773240832.

The previous prime is 318865468309. The next prime is 318865468367. The reversal of 318865468320 is 23864568813.

318865468320 is a `hidden beast` number, since 3 + 18 + 8 + 6 + 546 + 83 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 70124287 + ... + 70128833.

Almost surely, 2^318865468320 is an apocalyptic number.

318865468320 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 318865468320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644018848704).

318865468320 is an abundant number, since it is smaller than the sum of its proper divisors (969172229088).

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

318865468320 is a wasteful number, since it uses less digits than its factorization.

318865468320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5354 (or 5337 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 318865468320 in words is "three hundred eighteen billion, eight hundred sixty-five million, four hundred sixty-eight thousand, three hundred twenty".