180057646224 has 105 divisors (see below), whose sum is σ = 523186420393. Its totient is φ = 60003939456.

The previous prime is 180057646213. The next prime is 180057646229. The reversal of 180057646224 is 422646750081.

The square root of 180057646224 is 424332.

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

180057646224 is a `hidden beast` number, since 18 + 0 + 0 + 5 + 7 + 6 + 4 + 622 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25514311824 + 154543334400 = 159732^2 + 393120^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 180057646224.

It is not an unprimeable number, because it can be changed into a prime (180057646229) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 45825892 + ... + 45829820.

Almost surely, 2^180057646224 is an apocalyptic number.

180057646224 is the 424332-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180057646224

180057646224 is an abundant number, since it is smaller than the sum of its proper divisors (343128774169).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

180057646224 is an frugal number, since it uses more digits than its factorization.

180057646224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7884 (or 3934 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

It can be divided in two parts, 180057 and 646224, that added together give a square (826281 = 909²).

The spelling of 180057646224 in words is "one hundred eighty billion, fifty-seven million, six hundred forty-six thousand, two hundred twenty-four".