166934094084000 has 576 divisors, whose sum is σ = 600527763658368. Its totient is φ = 43912479744000.

The previous prime is 166934094083983. The next prime is 166934094084019. The reversal of 166934094084000 is 480490439661.

It is a happy number.

166934094084000 is a `hidden beast` number, since 1 + 66 + 93 + 4 + 0 + 94 + 0 + 8 + 400 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 858250759 + ... + 858445241.

It is an arithmetic number, because the mean of its divisors is an integer number (1042582923018).

Almost surely, 2^{166934094084000} is an apocalyptic number.

166934094084000 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 166934094084000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300263881829184).

166934094084000 is an abundant number, since it is smaller than the sum of its proper divisors (433593669574368).

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

166934094084000 is a wasteful number, since it uses less digits than its factorization.

166934094084000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194838 (or 194817 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 166934094084000 in words is "one hundred sixty-six trillion, nine hundred thirty-four billion, ninety-four million, eighty-four thousand".