180083107044 has 81 divisors (see below), whose sum is σ = 460200352521. Its totient is φ = 59376731040.

The previous prime is 180083107007. The next prime is 180083107049. The reversal of 180083107044 is 440701380081.

The square root of 180083107044 is 424362.

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

180083107044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 142988347044 + 37094760000 = 378138^2 + 192600^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (180083107049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 272440074 + ... + 272440734.

Almost surely, 2^180083107044 is an apocalyptic number.

180083107044 is the 424362-nd square number.

It is an amenable number.

180083107044 is an abundant number, since it is smaller than the sum of its proper divisors (280117245477).

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

180083107044 is an equidigital number, since it uses as much as digits as its factorization.

180083107044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Multiplying 180083107044 by its sum of digits (36), we get a square (6482991853584 = 2546172²).

180083107044 divided by its sum of digits (36) gives a square (5002308529 = 70727²).

The spelling of 180083107044 in words is "one hundred eighty billion, eighty-three million, one hundred seven thousand, forty-four".