180921772944 has 1080 divisors, whose sum is σ = 652930154240. Its totient is φ = 46531584000.

The previous prime is 180921772909. The next prime is 180921773003. The reversal of 180921772944 is 449277129081.

180921772944 is a `hidden beast` number, since 180 + 9 + 2 + 177 + 294 + 4 = 666.

180921772944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 2965930674 + ... + 2965930734.

Almost surely, 2^180921772944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180921772944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326465077120).

180921772944 is an abundant number, since it is smaller than the sum of its proper divisors (472008381296).

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

180921772944 is a wasteful number, since it uses less digits than its factorization.

180921772944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 180921772944 in words is "one hundred eighty billion, nine hundred twenty-one million, seven hundred seventy-two thousand, nine hundred forty-four".