11384884224 has 396 divisors, whose sum is σ = 40517482824. Its totient is φ = 3059417088.

The previous prime is 11384884187. The next prime is 11384884229. The reversal of 11384884224 is 42248848311.

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 11384884224.

It is not an unprimeable number, because it can be changed into a prime (11384884229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7676187 + ... + 7677669.

Almost surely, 2^11384884224 is an apocalyptic number.

11384884224 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 11384884224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20258741412).

11384884224 is an abundant number, since it is smaller than the sum of its proper divisors (29132598600).

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

11384884224 is a wasteful number, since it uses less digits than its factorization.

11384884224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1512 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The spelling of 11384884224 in words is "eleven billion, three hundred eighty-four million, eight hundred eighty-four thousand, two hundred twenty-four".