18364416000 has 720 divisors, whose sum is σ = 72258312672. Its totient is φ = 4128768000.

The previous prime is 18364415989. The next prime is 18364416041. The reversal of 18364416000 is 61446381.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 301055970 + ... + 301056030.

Almost surely, 2^18364416000 is an apocalyptic number.

18364416000 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 18364416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36129156336).

18364416000 is an abundant number, since it is smaller than the sum of its proper divisors (53893896672).

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

18364416000 is an frugal number, since it uses more digits than its factorization.

18364416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 18364416000 in words is "eighteen billion, three hundred sixty-four million, four hundred sixteen thousand".