180338663569 has 9 divisors (see below), whose sum is σ = 180893701179. Its totient is φ = 179785327680.

The previous prime is 180338663539. The next prime is 180338663573. The reversal of 180338663569 is 965366833081.

The square root of 180338663569 is 424663.

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., 59017414225 + 121321249344 = 242935^2 + 348312^2 .

It is not a de Polignac number, because 180338663569 - 2¹¹ = 180338661521 is a prime.

It is a super-2 number, since 2×180338663569² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (180338663539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 267962017 + ... + 267962689.

It is an arithmetic number, because the mean of its divisors is an integer number (20099300131).

Almost surely, 2^180338663569 is an apocalyptic number.

180338663569 is the 424663-rd square number.

180338663569 is the 212332-nd centered octagonal number.

It is an amenable number.

180338663569 is a deficient number, since it is larger than the sum of its proper divisors (555037610).

180338663569 is an frugal number, since it uses more digits than its factorization.

180338663569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2608 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 58.

The spelling of 180338663569 in words is "one hundred eighty billion, three hundred thirty-eight million, six hundred sixty-three thousand, five hundred sixty-nine".