318823464960 has 1824 divisors, whose sum is σ = 1538937533952. Its totient is φ = 61152952320.

The previous prime is 318823464959. The next prime is 318823464961. The reversal of 318823464960 is 69464328813.

318823464960 is a `hidden beast` number, since 3 + 18 + 82 + 3 + 464 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (318823464959) and next prime (318823464961).

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

It is a junction number, because it is equal to n+sod(n) for n = 318823464897 and 318823464906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (318823464961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24524881914 + ... + 24524881926.

Almost surely, 2^318823464960 is an apocalyptic number.

318823464960 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 318823464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769468766976).

318823464960 is an abundant number, since it is smaller than the sum of its proper divisors (1220114068992).

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

318823464960 is an frugal number, since it uses more digits than its factorization.

318823464960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 318823464960 in words is "three hundred eighteen billion, eight hundred twenty-three million, four hundred sixty-four thousand, nine hundred sixty".