18328848384 has 768 divisors, whose sum is σ = 67251824640. Its totient is φ = 4293918720.

The previous prime is 18328848319. The next prime is 18328848409. The reversal of 18328848384 is 48384882381.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×18328848384² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 345827302 + ... + 345827354.

It is an arithmetic number, because the mean of its divisors is an integer number (87567480).

Almost surely, 2^18328848384 is an apocalyptic number.

18328848384 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 18328848384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33625912320).

18328848384 is an abundant number, since it is smaller than the sum of its proper divisors (48922976256).

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

18328848384 is a wasteful number, since it uses less digits than its factorization.

18328848384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 136 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 57.

The spelling of 18328848384 in words is "eighteen billion, three hundred twenty-eight million, eight hundred forty-eight thousand, three hundred eighty-four".