18334828224 has 224 divisors, whose sum is σ = 56460542400. Its totient is φ = 5899557888.

The previous prime is 18334828181. The next prime is 18334828229. The reversal of 18334828224 is 42282843381.

18334828224 is a `hidden beast` number, since 1 + 8 + 3 + 348 + 282 + 24 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 18334828224.

It is not an unprimeable number, because it can be changed into a prime (18334828229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4056814 + ... + 4061330.

Almost surely, 2^18334828224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18334828224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28230271200).

18334828224 is an abundant number, since it is smaller than the sum of its proper divisors (38125714176).

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

18334828224 is an frugal number, since it uses more digits than its factorization.

18334828224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4579 (or 4551 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The spelling of 18334828224 in words is "eighteen billion, three hundred thirty-four million, eight hundred twenty-eight thousand, two hundred twenty-four".