166805943274017 has 12 divisors (see below), whose sum is σ = 248714238000384. Its totient is φ = 107616737595960.

The previous prime is 166805943274007. The next prime is 166805943274037. The reversal of 166805943274017 is 710472349508661.

166805943274017 is a `hidden beast` number, since 1 + 6 + 6 + 8 + 0 + 594 + 3 + 27 + 4 + 0 + 17 = 666.

It is not a de Polignac number, because 166805943274017 - 2⁷ = 166805943273889 is a prime.

It is a super-2 number, since 2×166805943274017² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (166805943274007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 298935381933 + ... + 298935382490.

It is an arithmetic number, because the mean of its divisors is an integer number (20726186500032).

It is a 1-persistent number, because it is pandigital, but 2⋅166805943274017 = 333611886548034 is not.

Almost surely, 2^{166805943274017} is an apocalyptic number.

It is an amenable number.

166805943274017 is a deficient number, since it is larger than the sum of its proper divisors (81908294726367).

166805943274017 is a wasteful number, since it uses less digits than its factorization.

166805943274017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597870764460 (or 597870764457 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 166805943274017 in words is "one hundred sixty-six trillion, eight hundred five billion, nine hundred forty-three million, two hundred seventy-four thousand, seventeen".