166908510144 has 224 divisors, whose sum is σ = 494500204800. Its totient is φ = 55204992000.

The previous prime is 166908510091. The next prime is 166908510157. The reversal of 166908510144 is 441015809661.

166908510144 is a `hidden beast` number, since 1 + 6 + 6 + 90 + 8 + 510 + 1 + 44 = 666.

166908510144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 166908510144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150503062 + ... + 150504170.

It is an arithmetic number, because the mean of its divisors is an integer number (2207590200).

Almost surely, 2^166908510144 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 166908510144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247250102400).

166908510144 is an abundant number, since it is smaller than the sum of its proper divisors (327591694656).

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

166908510144 is a wasteful number, since it uses less digits than its factorization.

166908510144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 1712 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 166908510144 in words is "one hundred sixty-six billion, nine hundred eight million, five hundred ten thousand, one hundred forty-four".