164533263129 has 9 divisors (see below), whose sum is σ = 237660915583. Its totient is φ = 109688030832.

The previous prime is 164533263119. The next prime is 164533263133. The reversal of 164533263129 is 921362335461.

The square root of 164533263129 is 405627.

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

164533263129 is a `hidden beast` number, since 1 + 6 + 4 + 5 + 3 + 3 + 2 + 631 + 2 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 52040103129 + 112493160000 = 228123^2 + 335400^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 164533263129 - 2¹⁵ = 164533230361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164533263119) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1149277 + ... + 1284485.

Almost surely, 2^164533263129 is an apocalyptic number.

164533263129 is the 405627-th square number.

164533263129 is the 202814-th centered octagonal number.

It is an amenable number.

164533263129 is a deficient number, since it is larger than the sum of its proper divisors (73127652454).

164533263129 is an frugal number, since it uses more digits than its factorization.

164533263129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270424 (or 135212 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The spelling of 164533263129 in words is "one hundred sixty-four billion, five hundred thirty-three million, two hundred sixty-three thousand, one hundred twenty-nine".