18345600000 has 1188 divisors, whose sum is σ = 82946167668. Its totient is φ = 3870720000.

The previous prime is 18345599989. The next prime is 18345600017. The reversal of 18345600000 is 654381.

18345600000 is a `hidden beast` number, since 18 + 3 + 45 + 600 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 17348050944 + 997549056 = 131712^2 + 31584^2 .

It is a super-2 number, since 2×18345600000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1411199994 + ... + 1411200006.

Almost surely, 2^18345600000 is an apocalyptic number.

18345600000 is a gapful number since it is divisible by the number (10) 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 18345600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41473083834).

18345600000 is an abundant number, since it is smaller than the sum of its proper divisors (64600567668).

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

18345600000 is an equidigital number, since it uses as much as digits as its factorization.

18345600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 18345600000 in words is "eighteen billion, three hundred forty-five million, six hundred thousand".