164367808929 has 45 divisors (see below), whose sum is σ = 248443406211. Its totient is φ = 108296591760.

The previous prime is 164367808921. The next prime is 164367808967. The reversal of 164367808929 is 929808763461.

The square root of 164367808929 is 405423.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 779917329 + 163587891600 = 27927^2 + 404460^2 .

It is not a de Polignac number, because 164367808929 - 2³ = 164367808921 is a prime.

It is a super-2 number, since 2×164367808929² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (164367808921) 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 44 ways as a sum of consecutive naturals, for example, 390422139 + ... + 390422559.

Almost surely, 2^164367808929 is an apocalyptic number.

164367808929 is the 405423-rd square number.

164367808929 is the 202712-nd centered octagonal number.

It is an amenable number.

164367808929 is a deficient number, since it is larger than the sum of its proper divisors (84075597282).

164367808929 is an frugal number, since it uses more digits than its factorization.

164367808929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 164367808929 in words is "one hundred sixty-four billion, three hundred sixty-seven million, eight hundred eight thousand, nine hundred twenty-nine".