18444057600 has 528 divisors, whose sum is σ = 64460128256. Its totient is φ = 4644864000.

The previous prime is 18444057559. The next prime is 18444057601. The reversal of 18444057600 is 675044481.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18444057601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145228737 + ... + 145228863.

Almost surely, 2^18444057600 is an apocalyptic number.

18444057600 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 18444057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32230064128).

18444057600 is an abundant number, since it is smaller than the sum of its proper divisors (46016070656).

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

18444057600 is a wasteful number, since it uses less digits than its factorization.

18444057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 18444057600 in words is "eighteen billion, four hundred forty-four million, fifty-seven thousand, six hundred".