180374327983201 has 27 divisors (see below), whose sum is σ = 201277047290193. Its totient is φ = 161520384908520.

The previous prime is 180374327983181. The next prime is 180374327983219. The reversal of 180374327983201 is 102389723473081.

The square root of 180374327983201 is 13430351.

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

It is not a de Polignac number, because 180374327983201 - 2²¹ = 180374325886049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (180374322983201) 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, 9898159576 + ... + 9898177798.

Almost surely, 2^{180374327983201} is an apocalyptic number.

180374327983201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

180374327983201 is the 13430351-st square number.

180374327983201 is the 6715176-th centered octagonal number.

It is an amenable number.

180374327983201 is a deficient number, since it is larger than the sum of its proper divisors (20902719306992).

180374327983201 is an frugal number, since it uses more digits than its factorization.

180374327983201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36602 (or 18301 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 58.

The spelling of 180374327983201 in words is "one hundred eighty trillion, three hundred seventy-four billion, three hundred twenty-seven million, nine hundred eighty-three thousand, two hundred one".