180814505856 has 64 divisors (see below), whose sum is σ = 487457086080. Its totient is φ = 59371918848.

The previous prime is 180814505843. The next prime is 180814505897. The reversal of 180814505856 is 658505418081.

180814505856 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 180814505799 and 180814505808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3488236 + ... + 3539691.

It is an arithmetic number, because the mean of its divisors is an integer number (7616516970).

Almost surely, 2^180814505856 is an apocalyptic number.

180814505856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

180814505856 is an abundant number, since it is smaller than the sum of its proper divisors (306642580224).

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

180814505856 is an equidigital number, since it uses as much as digits as its factorization.

180814505856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7028011 (or 7027999 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 51.

The spelling of 180814505856 in words is "one hundred eighty billion, eight hundred fourteen million, five hundred five thousand, eight hundred fifty-six".