166107582144 has 504 divisors, whose sum is σ = 584227259280. Its totient is φ = 46144401408.

The previous prime is 166107582133. The next prime is 166107582211. The reversal of 166107582144 is 441285701661.

166107582144 is a `hidden beast` number, since 1 + 6 + 61 + 0 + 7 + 582 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a self number, because there is not a number n which added to its sum of digits gives 166107582144.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 115915252 + ... + 115916684.

It is an arithmetic number, because the mean of its divisors is an integer number (1159181070).

Almost surely, 2^166107582144 is an apocalyptic number.

166107582144 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 166107582144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292113629640).

166107582144 is an abundant number, since it is smaller than the sum of its proper divisors (418119677136).

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

166107582144 is a wasteful number, since it uses less digits than its factorization.

166107582144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 166107582144 in words is "one hundred sixty-six billion, one hundred seven million, five hundred eighty-two thousand, one hundred forty-four".