11144003112 has 128 divisors (see below), whose sum is σ = 34036531200. Its totient is φ = 3350289600.

The previous prime is 11144003093. The next prime is 11144003137. The reversal of 11144003112 is 21130044111.

11144003112 is a `hidden beast` number, since 111 + 440 + 0 + 3 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283287 + ... + 320217.

It is an arithmetic number, because the mean of its divisors is an integer number (265910400).

Almost surely, 2^11144003112 is an apocalyptic number.

11144003112 is a gapful number since it is divisible by the number (12) 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 11144003112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17018265600).

11144003112 is an abundant number, since it is smaller than the sum of its proper divisors (22892528088).

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

11144003112 is a wasteful number, since it uses less digits than its factorization.

11144003112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37084 (or 37074 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11144003112 its reverse (21130044111), we get a palindrome (32274047223).

The spelling of 11144003112 in words is "eleven billion, one hundred forty-four million, three thousand, one hundred twelve".