318551661904896 has 264 divisors, whose sum is σ = 1079623742699840. Its totient is φ = 88554901487616.

The previous prime is 318551661904877. The next prime is 318551661904939. The reversal of 318551661904896 is 698409166155813.

318551661904896 is a `hidden beast` number, since 3 + 1 + 8 + 5 + 51 + 6 + 6 + 1 + 90 + 489 + 6 = 666.

It is a super-2 number, since 2×318551661904896² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64340986 + ... + 69114873.

Almost surely, 2^{318551661904896} is an apocalyptic number.

318551661904896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

318551661904896 is an abundant number, since it is smaller than the sum of its proper divisors (761072080794944).

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

318551661904896 is a wasteful number, since it uses less digits than its factorization.

318551661904896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133455929 (or 133455908 counting only the distinct ones).

The product of its (nonzero) digits is 335923200, while the sum is 72.

The spelling of 318551661904896 in words is "three hundred eighteen trillion, five hundred fifty-one billion, six hundred sixty-one million, nine hundred four thousand, eight hundred ninety-six".