11444113312 has 144 divisors (see below), whose sum is σ = 25199620992. Its totient is φ = 5105070080.

The previous prime is 11444113309. The next prime is 11444113321. The reversal of 11444113312 is 21331144411.

11444113312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36797637 + ... + 36797947.

It is an arithmetic number, because the mean of its divisors is an integer number (174997368).

Almost surely, 2^11444113312 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 11444113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12599810496).

11444113312 is an abundant number, since it is smaller than the sum of its proper divisors (13755507680).

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

11444113312 is a wasteful number, since it uses less digits than its factorization.

11444113312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 526 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

Adding to 11444113312 its reverse (21331144411), we get a palindrome (32775257723).

The spelling of 11444113312 in words is "eleven billion, four hundred forty-four million, one hundred thirteen thousand, three hundred twelve".