10164172667 has 12 divisors (see below), whose sum is σ = 11361556920. Its totient is φ = 9083537760.

The previous prime is 10164172661. The next prime is 10164172693. The reversal of 10164172667 is 76627146101.

It is not a de Polignac number, because 10164172667 - 2⁸ = 10164172411 is a prime.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10164172661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 704738 + ... + 719015.

It is an arithmetic number, because the mean of its divisors is an integer number (946796410).

Almost surely, 2^10164172667 is an apocalyptic number.

10164172667 is a deficient number, since it is larger than the sum of its proper divisors (1197384253).

10164172667 is a wasteful number, since it uses less digits than its factorization.

10164172667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423834 (or 1423823 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The spelling of 10164172667 in words is "ten billion, one hundred sixty-four million, one hundred seventy-two thousand, six hundred sixty-seven".