166296083184 has 600 divisors, whose sum is σ = 631927969200. Its totient is φ = 41699266560.

The previous prime is 166296083171. The next prime is 166296083207. The reversal of 166296083184 is 481380692661.

166296083184 is a `hidden beast` number, since 1 + 6 + 6 + 29 + 608 + 3 + 1 + 8 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 166296083184.

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 20253672 + ... + 20261880.

It is an arithmetic number, because the mean of its divisors is an integer number (1053213282).

Almost surely, 2^166296083184 is an apocalyptic number.

166296083184 is a gapful number since it is divisible by the number (14) 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 166296083184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315963984600).

166296083184 is an abundant number, since it is smaller than the sum of its proper divisors (465631886016).

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

166296083184 is a wasteful number, since it uses less digits than its factorization.

166296083184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8283 (or 8261 counting only the distinct ones).

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

The spelling of 166296083184 in words is "one hundred sixty-six billion, two hundred ninety-six million, eighty-three thousand, one hundred eighty-four".