18443600800 has 72 divisors (see below), whose sum is σ = 45081888012. Its totient is φ = 7368192000.

The previous prime is 18443600797. The next prime is 18443600831. The reversal of 18443600800 is 800634481.

It can be written as a sum of positive squares in 6 ways, for example, as 2709410704 + 15734190096 = 52052^2 + 125436^2 .

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 11 ways as a sum of consecutive naturals, for example, 642760 + ... + 670840.

Almost surely, 2^18443600800 is an apocalyptic number.

18443600800 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 18443600800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22540944006).

18443600800 is an abundant number, since it is smaller than the sum of its proper divisors (26638287212).

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

18443600800 is a wasteful number, since it uses less digits than its factorization.

18443600800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28922 (or 28909 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The spelling of 18443600800 in words is "eighteen billion, four hundred forty-three million, six hundred thousand, eight hundred".