166113706176 has 280 divisors, whose sum is σ = 539628063744. Its totient is φ = 50107921920.

The previous prime is 166113706151. The next prime is 166113706201. The reversal of 166113706176 is 671607311661.

166113706176 is a `hidden beast` number, since 16 + 6 + 1 + 13 + 7 + 0 + 617 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (166113706151) and next prime (166113706201).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12709821 + ... + 12722883.

Almost surely, 2^166113706176 is an apocalyptic number.

166113706176 is a gapful number since it is divisible by the number (16) 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 166113706176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269814031872).

166113706176 is an abundant number, since it is smaller than the sum of its proper divisors (373514357568).

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

166113706176 is a wasteful number, since it uses less digits than its factorization.

166113706176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13321 (or 13302 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 166113706176 in words is "one hundred sixty-six billion, one hundred thirteen million, seven hundred six thousand, one hundred seventy-six".