180345458241 has 27 divisors (see below), whose sum is σ = 282104700969. Its totient is φ = 110971628352.

The previous prime is 180345458213. The next prime is 180345458261. The reversal of 180345458241 is 142854543081.

The square root of 180345458241 is 424671.

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

180345458241 is a `hidden beast` number, since 1 + 80 + 3 + 4 + 545 + 8 + 24 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 127631135025 + 52714323216 = 357255^2 + 229596^2 .

It is a de Polignac number, because none of the positive numbers 2^k-180345458241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (180345458261) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16556725 + ... + 16567613.

Almost surely, 2^180345458241 is an apocalyptic number.

180345458241 is the 424671-st square number.

180345458241 is the 212336-th centered octagonal number.

It is an amenable number.

180345458241 is a deficient number, since it is larger than the sum of its proper divisors (101759242728).

180345458241 is an frugal number, since it uses more digits than its factorization.

180345458241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21810 (or 10905 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 180345458241 in words is "one hundred eighty billion, three hundred forty-five million, four hundred fifty-eight thousand, two hundred forty-one".