180861584456 has 96 divisors (see below), whose sum is σ = 401794732800. Its totient is φ = 76079203200.

The previous prime is 180861584443. The next prime is 180861584483. The reversal of 180861584456 is 654485168081.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15651881 + ... + 15663431.

It is an arithmetic number, because the mean of its divisors is an integer number (4185361800).

Almost surely, 2^180861584456 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 180861584456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200897366400).

180861584456 is an abundant number, since it is smaller than the sum of its proper divisors (220933148344).

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

180861584456 is a wasteful number, since it uses less digits than its factorization.

180861584456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12307 (or 12296 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 56.

The spelling of 180861584456 in words is "one hundred eighty billion, eight hundred sixty-one million, five hundred eighty-four thousand, four hundred fifty-six".