18354336000 has 1152 divisors, whose sum is σ = 82282217472. Its totient is φ = 3502080000.

The previous prime is 18354335983. The next prime is 18354336001. The reversal of 18354336000 is 63345381.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (18354336001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 96095905 + ... + 96096095.

It is an arithmetic number, because the mean of its divisors is an integer number (71425536).

Almost surely, 2^18354336000 is an apocalyptic number.

18354336000 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 18354336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41141108736).

18354336000 is an abundant number, since it is smaller than the sum of its proper divisors (63927881472).

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

18354336000 is a wasteful number, since it uses less digits than its factorization.

18354336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 18354336000 in words is "eighteen billion, three hundred fifty-four million, three hundred thirty-six thousand".