165069126369 has 45 divisors (see below), whose sum is σ = 286887963747. Its totient is φ = 94310588736.

The previous prime is 165069126329. The next prime is 165069126371. The reversal of 165069126369 is 963621960561.

The square root of 165069126369 is 406287.

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

165069126369 is a `hidden beast` number, since 1 + 6 + 506 + 9 + 12 + 63 + 69 = 666.

It can be written as a sum of positive squares in only one way, i.e., 160090412769 + 4978713600 = 400113^2 + 70560^2 .

It is not a de Polignac number, because 165069126369 - 2⁹ = 165069125857 is a prime.

It is a super-2 number, since 2×165069126369² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (165069126329) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 25592857 + ... + 25599305.

Almost surely, 2^165069126369 is an apocalyptic number.

165069126369 is the 406287-th square number.

165069126369 is the 203144-th centered octagonal number.

It is an amenable number.

165069126369 is a deficient number, since it is larger than the sum of its proper divisors (121818837378).

165069126369 is an frugal number, since it uses more digits than its factorization.

165069126369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12924 (or 6459 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 165069126369 in words is "one hundred sixty-five billion, sixty-nine million, one hundred twenty-six thousand, three hundred sixty-nine".