18003384000 has 1008 divisors, whose sum is σ = 77987956800. Its totient is φ = 4115059200.

The previous prime is 18003383977. The next prime is 18003384031. The reversal of 18003384000 is 48330081.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2571911997 + ... + 2571912003.

Almost surely, 2^18003384000 is an apocalyptic number.

18003384000 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 18003384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38993978400).

18003384000 is an abundant number, since it is smaller than the sum of its proper divisors (59984572800).

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

18003384000 is an frugal number, since it uses more digits than its factorization.

18003384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 18003384000 in words is "eighteen billion, three million, three hundred eighty-four thousand".