18118828224 has 448 divisors, whose sum is σ = 62787174400. Its totient is φ = 5017199616.

The previous prime is 18118828111. The next prime is 18118828267. The reversal of 18118828224 is 42282881181.

It is a tau number, because it is divible by the number of its divisors (448).

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 18118828224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64023987 + ... + 64024269.

Almost surely, 2^18118828224 is an apocalyptic number.

18118828224 is a gapful number since it is divisible by the number (14) 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 18118828224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31393587200).

18118828224 is an abundant number, since it is smaller than the sum of its proper divisors (44668346176).

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

18118828224 is a wasteful number, since it uses less digits than its factorization.

18118828224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 441 counting only the distinct ones).

The product of its digits is 131072, while the sum is 45.

The spelling of 18118828224 in words is "eighteen billion, one hundred eighteen million, eight hundred twenty-eight thousand, two hundred twenty-four".