180038164164 has 96 divisors (see below), whose sum is σ = 444717665280. Its totient is φ = 56573497728.

The previous prime is 180038164157. The next prime is 180038164183. The reversal of 180038164164 is 461461830081.

180038164164 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9589074 + ... + 9607830.

It is an arithmetic number, because the mean of its divisors is an integer number (4632475680).

Almost surely, 2^180038164164 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 180038164164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222358832640).

180038164164 is an abundant number, since it is smaller than the sum of its proper divisors (264679501116).

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

180038164164 is a wasteful number, since it uses less digits than its factorization.

180038164164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19289 (or 19287 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 180038164164 in words is "one hundred eighty billion, thirty-eight million, one hundred sixty-four thousand, one hundred sixty-four".