165788223241 has 9 divisors (see below), whose sum is σ = 169947576039. Its totient is φ = 161728321200.

The previous prime is 165788223233. The next prime is 165788223253. The reversal of 165788223241 is 142322887561.

The square root of 165788223241 is 407171.

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

It can be written as a sum of positive squares in only one way, i.e., 7988605641 + 157799617600 = 89379^2 + 397240^2 .

It is not a de Polignac number, because 165788223241 - 2³ = 165788223233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (165788223641) 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, 16689046 + ... + 16698976.

Almost surely, 2^165788223241 is an apocalyptic number.

165788223241 is the 407171-st square number.

165788223241 is the 203586-th centered octagonal number.

It is an amenable number.

165788223241 is a deficient number, since it is larger than the sum of its proper divisors (4159352798).

165788223241 is an frugal number, since it uses more digits than its factorization.

165788223241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19944 (or 9972 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 49.

Multiplying 165788223241 by its sum of digits (49), we get a square (8123622938809 = 2850197²).

The spelling of 165788223241 in words is "one hundred sixty-five billion, seven hundred eighty-eight million, two hundred twenty-three thousand, two hundred forty-one".