11135244144 has 160 divisors (see below), whose sum is σ = 31098009600. Its totient is φ = 3425264640.

The previous prime is 11135244121. The next prime is 11135244149. The reversal of 11135244144 is 44144253111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11135244149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3580062 + ... + 3583170.

It is an arithmetic number, because the mean of its divisors is an integer number (194362560).

Almost surely, 2^11135244144 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 11135244144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15549004800).

11135244144 is an abundant number, since it is smaller than the sum of its proper divisors (19962765456).

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

11135244144 is a wasteful number, since it uses less digits than its factorization.

11135244144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3263 (or 3257 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

Adding to 11135244144 its reverse (44144253111), we get a palindrome (55279497255).

The spelling of 11135244144 in words is "eleven billion, one hundred thirty-five million, two hundred forty-four thousand, one hundred forty-four".