165874554729 has 75 divisors (see below), whose sum is σ = 272940840183. Its totient is φ = 100346536368.

The previous prime is 165874554721. The next prime is 165874554799. The reversal of 165874554729 is 927455478561.

It is a happy number.

The square root of 165874554729 is 407277.

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

165874554729 is a `hidden beast` number, since 1 + 6 + 5 + 8 + 7 + 4 + 554 + 72 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24537656025 + 141336898704 = 156645^2 + 375948^2 .

It is not a de Polignac number, because 165874554729 - 2³ = 165874554721 is a prime.

Its product of digits (84672000) is a multiple of the sum of its prime divisors (75).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (165874554721) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 2811433102 + ... + 2811433160.

Almost surely, 2^165874554729 is an apocalyptic number.

165874554729 is the 407277-th square number.

165874554729 is the 203639-th centered octagonal number.

It is an amenable number.

165874554729 is a deficient number, since it is larger than the sum of its proper divisors (107066285454).

165874554729 is an frugal number, since it uses more digits than its factorization.

165874554729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 75 counting only the distinct ones).

The product of its digits is 84672000, while the sum is 63.

The spelling of 165874554729 in words is "one hundred sixty-five billion, eight hundred seventy-four million, five hundred fifty-four thousand, seven hundred twenty-nine".