180345917988 has 96 divisors (see below), whose sum is σ = 479584089600. Its totient is φ = 58576506912.

The previous prime is 180345917911. The next prime is 180345917989. The reversal of 180345917988 is 889719543081.

180345917988 is a `hidden beast` number, since 1 + 8 + 0 + 3 + 459 + 179 + 8 + 8 = 666.

180345917988 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (180345917989) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1899495 + ... + 1992177.

It is an arithmetic number, because the mean of its divisors is an integer number (4995667600).

Almost surely, 2^180345917988 is an apocalyptic number.

180345917988 is a gapful number since it is divisible by the number (18) 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 180345917988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239792044800).

180345917988 is an abundant number, since it is smaller than the sum of its proper divisors (299238171612).

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

180345917988 is a wasteful number, since it uses less digits than its factorization.

180345917988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93158 (or 93150 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 180345917988 in words is "one hundred eighty billion, three hundred forty-five million, nine hundred seventeen thousand, nine hundred eighty-eight".