180479612544 has 512 divisors, whose sum is σ = 635461632000. Its totient is φ = 43965296640.

The previous prime is 180479612543. The next prime is 180479612561. The reversal of 180479612544 is 445216974081.

It is not an unprimeable number, because it can be changed into a prime (180479612543) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57863017 + ... + 57866135.

It is an arithmetic number, because the mean of its divisors is an integer number (1241136000).

Almost surely, 2^180479612544 is an apocalyptic number.

180479612544 is a gapful number since it is divisible by the number (14) 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 180479612544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317730816000).

180479612544 is an abundant number, since it is smaller than the sum of its proper divisors (454982019456).

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

180479612544 is a wasteful number, since it uses less digits than its factorization.

180479612544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3276 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 180479612544 in words is "one hundred eighty billion, four hundred seventy-nine million, six hundred twelve thousand, five hundred forty-four".