166541616657 has 144 divisors (see below), whose sum is σ = 273133256448. Its totient is φ = 97675269120.

The previous prime is 166541616613. The next prime is 166541616673. The reversal of 166541616657 is 756616145661.

166541616657 is a `hidden beast` number, since 1 + 6 + 65 + 416 + 166 + 5 + 7 = 666.

It is not a de Polignac number, because 166541616657 - 2⁷ = 166541616529 is a prime.

It is a super-2 number, since 2×166541616657² (a number of 23 digits) contains 22 as substring.

Its product of digits (5443200) is a multiple of the sum of its prime factors (600).

It is not an unprimeable number, because it can be changed into a prime (166541616607) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 453791688 + ... + 453792054.

Almost surely, 2^166541616657 is an apocalyptic number.

It is an amenable number.

166541616657 is a deficient number, since it is larger than the sum of its proper divisors (106591639791).

166541616657 is a wasteful number, since it uses less digits than its factorization.

166541616657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 584 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 166541616657 in words is "one hundred sixty-six billion, five hundred forty-one million, six hundred sixteen thousand, six hundred fifty-seven".