165705813146329 has 9 divisors (see below), whose sum is σ = 166096734640501. Its totient is φ = 165315809651260.

The previous prime is 165705813146323. The next prime is 165705813146333. The reversal of 165705813146329 is 923641318507561.

The square root of 165705813146329 is 12872677.

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

It is not a de Polignac number, because 165705813146329 - 2⁷ = 165705813146201 is a prime.

It is a super-2 number, since 2×165705813146329² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (165705813146323) 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 8 ways as a sum of consecutive naturals, for example, 5548108854 + ... + 5548138720.

It is a 1-persistent number, because it is pandigital, but 2⋅165705813146329 = 331411626292658 is not.

Almost surely, 2^{165705813146329} is an apocalyptic number.

165705813146329 is the 12872677-th square number.

165705813146329 is the 6436339-th centered octagonal number.

It is an amenable number.

165705813146329 is a deficient number, since it is larger than the sum of its proper divisors (390921494172).

165705813146329 is an frugal number, since it uses more digits than its factorization.

165705813146329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60596 (or 30298 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 61.

The spelling of 165705813146329 in words is "one hundred sixty-five trillion, seven hundred five billion, eight hundred thirteen million, one hundred forty-six thousand, three hundred twenty-nine".