180384731712 has 336 divisors, whose sum is σ = 556877280960. Its totient is φ = 55651774464.

The previous prime is 180384731699. The next prime is 180384731713. The reversal of 180384731712 is 217137483081.

180384731712 is a `hidden beast` number, since 1 + 8 + 0 + 3 + 8 + 473 + 171 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (180384731713) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178069318 + ... + 178070330.

It is an arithmetic number, because the mean of its divisors is an integer number (1657372860).

Almost surely, 2^180384731712 is an apocalyptic number.

180384731712 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 180384731712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278438640480).

180384731712 is an abundant number, since it is smaller than the sum of its proper divisors (376492549248).

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

180384731712 is a wasteful number, since it uses less digits than its factorization.

180384731712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 180384731712 in words is "one hundred eighty billion, three hundred eighty-four million, seven hundred thirty-one thousand, seven hundred twelve".