11448522768384 has 720 divisors, whose sum is σ = 37221967684440. Its totient is φ = 3485718282240.

The previous prime is 11448522768301. The next prime is 11448522768401. The reversal of 11448522768384 is 48386722584411.

11448522768384 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 8 + 522 + 76 + 8 + 38 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4943329689600 + 6505193078784 = 2223360^2 + 2550528^2 .

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 15044050564 + ... + 15044051324.

Almost surely, 2^{11448522768384} 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 11448522768384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18610983842220).

11448522768384 is an abundant number, since it is smaller than the sum of its proper divisors (25773444916056).

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

11448522768384 is an frugal number, since it uses more digits than its factorization.

11448522768384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 888 counting only the distinct ones).

The product of its digits is 82575360, while the sum is 63.

The spelling of 11448522768384 in words is "eleven trillion, four hundred forty-eight billion, five hundred twenty-two million, seven hundred sixty-eight thousand, three hundred eighty-four".