180853722361 has 9 divisors (see below), whose sum is σ = 195841674189. Its totient is φ = 166936794336.

The previous prime is 180853722319. The next prime is 180853722419. The reversal of 180853722361 is 163227358081.

The square root of 180853722361 is 425269.

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

It can be written as a sum of positive squares in 4 ways, for example, as 22942857961 + 157910864400 = 151469^2 + 397380^2 .

It is not a de Polignac number, because 180853722361 - 2¹³ = 180853714169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (180853722311) 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, 5512141 + ... + 5544853.

It is an arithmetic number, because the mean of its divisors is an integer number (21760186021).

Almost surely, 2^180853722361 is an apocalyptic number.

180853722361 is the 425269-th square number.

180853722361 is the 212635-th centered octagonal number.

It is an amenable number.

180853722361 is a deficient number, since it is larger than the sum of its proper divisors (14987951828).

180853722361 is an frugal number, since it uses more digits than its factorization.

180853722361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65452 (or 32726 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 180853722361 in words is "one hundred eighty billion, eight hundred fifty-three million, seven hundred twenty-two thousand, three hundred sixty-one".