180160384356 has 240 divisors, whose sum is σ = 512829092160. Its totient is φ = 54928005120.

The previous prime is 180160384351. The next prime is 180160384357. The reversal of 180160384356 is 653483061081.

180160384356 is a `hidden beast` number, since 1 + 8 + 0 + 1 + 603 + 8 + 4 + 35 + 6 = 666.

180160384356 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (180160384351) 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 79 ways as a sum of consecutive naturals, for example, 63907915 + ... + 63910733.

It is an arithmetic number, because the mean of its divisors is an integer number (2136787884).

Almost surely, 2^180160384356 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 180160384356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256414546080).

180160384356 is an abundant number, since it is smaller than the sum of its proper divisors (332668707804).

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

180160384356 is a wasteful number, since it uses less digits than its factorization.

180160384356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3176 (or 3165 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 180160384356 in words is "one hundred eighty billion, one hundred sixty million, three hundred eighty-four thousand, three hundred fifty-six".