18480844800 has 468 divisors, whose sum is σ = 72251697024. Its totient is φ = 4477747200.

The previous prime is 18480844777. The next prime is 18480844807. The reversal of 18480844800 is 844808481.

18480844800 is a `hidden beast` number, since 18 + 4 + 80 + 84 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18480844807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10136689 + ... + 10138511.

It is an arithmetic number, because the mean of its divisors is an integer number (154383968).

Almost surely, 2^18480844800 is an apocalyptic number.

18480844800 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 18480844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36125848512).

18480844800 is an abundant number, since it is smaller than the sum of its proper divisors (53770852224).

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

18480844800 is a wasteful number, since it uses less digits than its factorization.

18480844800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The spelling of 18480844800 in words is "eighteen billion, four hundred eighty million, eight hundred forty-four thousand, eight hundred".