18009216000 has 616 divisors, whose sum is σ = 67711795944. Its totient is φ = 4777574400.

The previous prime is 18009215953. The next prime is 18009216013. The reversal of 18009216000 is 61290081.

It can be written as a sum of positive squares in 4 ways, for example, as 2096907264 + 15912308736 = 45792^2 + 126144^2 .

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

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 55 ways as a sum of consecutive naturals, for example, 93311904 + ... + 93312096.

Almost surely, 2^18009216000 is an apocalyptic number.

18009216000 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 18009216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33855897972).

18009216000 is an abundant number, since it is smaller than the sum of its proper divisors (49702579944).

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

18009216000 is an frugal number, since it uses more digits than its factorization.

18009216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 18009216000 in words is "eighteen billion, nine million, two hundred sixteen thousand".