166542588864 has 168 divisors, whose sum is σ = 495800847360. Its totient is φ = 55429380864.

The previous prime is 166542588853. The next prime is 166542588893. The reversal of 166542588864 is 468885245661.

166542588864 is a `hidden beast` number, since 1 + 6 + 6 + 5 + 42 + 588 + 8 + 6 + 4 = 666.

166542588864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10614177 + ... + 10629855.

It is an arithmetic number, because the mean of its divisors is an integer number (2951195520).

Almost surely, 2^166542588864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166542588864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247900423680).

166542588864 is an abundant number, since it is smaller than the sum of its proper divisors (329258258496).

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

166542588864 is an equidigital number, since it uses as much as digits as its factorization.

166542588864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16389 (or 16367 counting only the distinct ones).

The product of its digits is 88473600, while the sum is 63.

The spelling of 166542588864 in words is "one hundred sixty-six billion, five hundred forty-two million, five hundred eighty-eight thousand, eight hundred sixty-four".