11448912384 has 640 divisors, whose sum is σ = 43997184000. Its totient is φ = 2854600704.

The previous prime is 11448912359. The next prime is 11448912389. The reversal of 11448912384 is 48321984411.

11448912384 is a `hidden beast` number, since 1 + 1 + 448 + 9 + 123 + 84 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11448912389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23901457 + ... + 23901935.

It is an arithmetic number, because the mean of its divisors is an integer number (68745600).

Almost surely, 2^11448912384 is an apocalyptic number.

11448912384 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 11448912384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21998592000).

11448912384 is an abundant number, since it is smaller than the sum of its proper divisors (32548271616).

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

11448912384 is a wasteful number, since it uses less digits than its factorization.

11448912384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 523 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The spelling of 11448912384 in words is "eleven billion, four hundred forty-eight million, nine hundred twelve thousand, three hundred eighty-four".