164580086167 has 16 divisors (see below), whose sum is σ = 192577489920. Its totient is φ = 137719299168.

The previous prime is 164580086159. The next prime is 164580086171. The reversal of 164580086167 is 761680085461.

It is a cyclic number.

It is not a de Polignac number, because 164580086167 - 2³ = 164580086159 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164580080167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 499417 + ... + 760642.

It is an arithmetic number, because the mean of its divisors is an integer number (12036093120).

Almost surely, 2^164580086167 is an apocalyptic number.

164580086167 is a deficient number, since it is larger than the sum of its proper divisors (27997403753).

164580086167 is a wasteful number, since it uses less digits than its factorization.

164580086167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260510.

The product of its (nonzero) digits is 1935360, while the sum is 52.

The spelling of 164580086167 in words is "one hundred sixty-four billion, five hundred eighty million, eighty-six thousand, one hundred sixty-seven".