180311249248 has 96 divisors (see below), whose sum is σ = 385968844800. Its totient is φ = 82423650816.

The previous prime is 180311249233. The next prime is 180311249257. The reversal of 180311249248 is 842942113081.

180311249248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 25612513 + ... + 25619551.

It is an arithmetic number, because the mean of its divisors is an integer number (4020508800).

Almost surely, 2^180311249248 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 180311249248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192984422400).

180311249248 is an abundant number, since it is smaller than the sum of its proper divisors (205657595552).

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

180311249248 is a wasteful number, since it uses less digits than its factorization.

180311249248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7644 (or 7636 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The spelling of 180311249248 in words is "one hundred eighty billion, three hundred eleven million, two hundred forty-nine thousand, two hundred forty-eight".