166817047761 has 288 divisors, whose sum is σ = 329601592320. Its totient is φ = 78891563520.

The previous prime is 166817047757. The next prime is 166817047769. The reversal of 166817047761 is 167740718661.

It is a happy number.

166817047761 is a `hidden beast` number, since 166 + 8 + 1 + 7 + 0 + 477 + 6 + 1 = 666.

It is not a de Polignac number, because 166817047761 - 2² = 166817047757 is a prime.

It is a super-2 number, since 2×166817047761² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 166817047698 and 166817047707.

It is not an unprimeable number, because it can be changed into a prime (166817047769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2489806650 + ... + 2489806716.

Almost surely, 2^166817047761 is an apocalyptic number.

It is an amenable number.

166817047761 is a deficient number, since it is larger than the sum of its proper divisors (162784544559).

166817047761 is a wasteful number, since it uses less digits than its factorization.

166817047761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 166817047761 in words is "one hundred sixty-six billion, eight hundred seventeen million, forty-seven thousand, seven hundred sixty-one".