165166160666031 has 32 divisors (see below), whose sum is σ = 279663739980800. Its totient is φ = 94374814232160.

The previous prime is 165166160666011. The next prime is 165166160666033. The reversal of 165166160666031 is 130666061661561.

It is not a de Polignac number, because 165166160666031 - 2⁵ = 165166160665999 is a prime.

It is a super-2 number, since 2×165166160666031² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165166160666033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24020011 + ... + 30121308.

It is an arithmetic number, because the mean of its divisors is an integer number (8739491874400).

Almost surely, 2^{165166160666031} is an apocalyptic number.

165166160666031 is a deficient number, since it is larger than the sum of its proper divisors (114497579314769).

165166160666031 is a wasteful number, since it uses less digits than its factorization.

165166160666031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54157476 (or 54157470 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 165166160666031 in words is "one hundred sixty-five trillion, one hundred sixty-six billion, one hundred sixty million, six hundred sixty-six thousand, thirty-one".