165022000441 has 9 divisors (see below), whose sum is σ = 165743754213. Its totient is φ = 164303381340.

The previous prime is 165022000433. The next prime is 165022000453. The reversal of 165022000441 is 144000220561.

It is a happy number.

The square root of 165022000441 is 406229.

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

165022000441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 165022000441 - 2³ = 165022000433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (165022009441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 110087310 + ... + 110088808.

Almost surely, 2^165022000441 is an apocalyptic number.

165022000441 is the 406229-th square number.

165022000441 is the 203115-th centered octagonal number.

It is an amenable number.

165022000441 is a deficient number, since it is larger than the sum of its proper divisors (721753772).

165022000441 is an frugal number, since it uses more digits than its factorization.

165022000441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3540 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Multiplying 165022000441 by its sum of digits (25), we get a square (4125550011025 = 2031145²).

The spelling of 165022000441 in words is "one hundred sixty-five billion, twenty-two million, four hundred forty-one", and thus it is an aban number.