166814968320000 has 4160 divisors, whose sum is σ = 829515534059520. Its totient is φ = 31983206400000.

The previous prime is 166814968319977. The next prime is 166814968320043. The reversal of 166814968320000 is 23869418661.

166814968320000 is a `hidden beast` number, since 16 + 68 + 1 + 496 + 83 + 2 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4160).

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 319 ways as a sum of consecutive naturals, for example, 69189118795 + ... + 69189121205.

Almost surely, 2^{166814968320000} is an apocalyptic number.

166814968320000 is a gapful number since it is divisible by the number (10) 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 166814968320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414757767029760).

166814968320000 is an abundant number, since it is smaller than the sum of its proper divisors (662700565739520).

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

166814968320000 is a wasteful number, since it uses less digits than its factorization.

166814968320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2495 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 166814968320000 in words is "one hundred sixty-six trillion, eight hundred fourteen billion, nine hundred sixty-eight million, three hundred twenty thousand".