180032904909432 has 160 divisors (see below), whose sum is σ = 504697397318400. Its totient is φ = 59958793912896.

The previous prime is 180032904909409. The next prime is 180032904909443. The reversal of 180032904909432 is 234909409230081.

180032904909432 is a `hidden beast` number, since 1 + 8 + 0 + 0 + 32 + 9 + 0 + 490 + 94 + 32 = 666.

180032904909432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4893908943 + ... + 4893945729.

It is an arithmetic number, because the mean of its divisors is an integer number (3154358733240).

Almost surely, 2^{180032904909432} is an apocalyptic number.

180032904909432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180032904909432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252348698659200).

180032904909432 is an abundant number, since it is smaller than the sum of its proper divisors (324664492408968).

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

180032904909432 is a wasteful number, since it uses less digits than its factorization.

180032904909432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43167 (or 43154 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 180032904909432 in words is "one hundred eighty trillion, thirty-two billion, nine hundred four million, nine hundred nine thousand, four hundred thirty-two".