11133241344 has 168 divisors, whose sum is σ = 33380777430. Its totient is φ = 3710582784.

The previous prime is 11133241337. The next prime is 11133241363. The reversal of 11133241344 is 44314233111.

It can be written as a sum of positive squares in only one way, i.e., 10218783744 + 914457600 = 101088^2 + 30240^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1489264 + ... + 1496720.

Almost surely, 2^11133241344 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 11133241344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16690388715).

11133241344 is an abundant number, since it is smaller than the sum of its proper divisors (22247536086).

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

11133241344 is an frugal number, since it uses more digits than its factorization.

11133241344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7497 (or 7462 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 11133241344 its reverse (44314233111), we get a palindrome (55447474455).

The spelling of 11133241344 in words is "eleven billion, one hundred thirty-three million, two hundred forty-one thousand, three hundred forty-four".