166878630753408 has 256 divisors, whose sum is σ = 570812223744000. Its totient is φ = 47008064517120.

The previous prime is 166878630753391. The next prime is 166878630753437. The reversal of 166878630753408 is 804357036878661.

166878630753408 is a `hidden beast` number, since 1 + 6 + 6 + 8 + 7 + 86 + 3 + 0 + 7 + 534 + 0 + 8 = 666.

It is a super-2 number, since 2×166878630753408² (a number of 29 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46860478 + ... + 50295741.

It is an arithmetic number, because the mean of its divisors is an integer number (2229735249000).

Almost surely, 2^{166878630753408} is an apocalyptic number.

166878630753408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

166878630753408 is an abundant number, since it is smaller than the sum of its proper divisors (403933592990592).

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

166878630753408 is an equidigital number, since it uses as much as digits as its factorization.

166878630753408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97156320 (or 97156302 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 166878630753408 in words is "one hundred sixty-six trillion, eight hundred seventy-eight billion, six hundred thirty million, seven hundred fifty-three thousand, four hundred eight".