164168401329 has 9 divisors (see below), whose sum is σ = 237133891033. Its totient is φ = 109444790532.

The previous prime is 164168401301. The next prime is 164168401337. The reversal of 164168401329 is 923104861461.

The square root of 164168401329 is 405177.

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

164168401329 is a `hidden beast` number, since 1 + 64 + 168 + 401 + 3 + 29 = 666.

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

It is not a de Polignac number, because 164168401329 - 2⁵ = 164168401297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164168401339) 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, 1148002 + ... + 1283060.

Almost surely, 2^164168401329 is an apocalyptic number.

164168401329 is the 405177-th square number.

164168401329 is the 202589-th centered octagonal number.

It is an amenable number.

164168401329 is a deficient number, since it is larger than the sum of its proper divisors (72965489704).

164168401329 is an frugal number, since it uses more digits than its factorization.

164168401329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270124 (or 135062 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 164168401329 in words is "one hundred sixty-four billion, one hundred sixty-eight million, four hundred one thousand, three hundred twenty-nine".