164289976929 has 81 divisors (see below), whose sum is σ = 271699445043. Its totient is φ = 95605290144.

The previous prime is 164289976889. The next prime is 164289976931. The reversal of 164289976929 is 929679982461.

The square root of 164289976929 is 405327.

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., 24303251025 + 139986725904 = 155895^2 + 374148^2 .

It is not a de Polignac number, because 164289976929 - 2¹¹ = 164289974881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164289976729) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 300347034 + ... + 300347580.

Almost surely, 2^164289976929 is an apocalyptic number.

164289976929 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

164289976929 is the 405327-th square number.

164289976929 is the 202664-th centered octagonal number.

It is an amenable number.

164289976929 is a deficient number, since it is larger than the sum of its proper divisors (107409468114).

164289976929 is an equidigital number, since it uses as much as digits as its factorization.

164289976929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 582 counting only the distinct ones).

The product of its digits is 211631616, while the sum is 72.

The spelling of 164289976929 in words is "one hundred sixty-four billion, two hundred eighty-nine million, nine hundred seventy-six thousand, nine hundred twenty-nine".