11104144000 has 128 divisors (see below), whose sum is σ = 28355343120. Its totient is φ = 4321382400.

The previous prime is 11104143949. The next prime is 11104144063. The reversal of 11104144000 is 44140111.

It can be written as a sum of positive squares in 8 ways, for example, as 2167088704 + 8937055296 = 46552^2 + 94536^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 582622 + ... + 601378.

Almost surely, 2^11104144000 is an apocalyptic number.

11104144000 is a gapful number since it is divisible by the number (10) 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 11104144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14177671560).

11104144000 is an abundant number, since it is smaller than the sum of its proper divisors (17251199120).

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

11104144000 is an equidigital number, since it uses as much as digits as its factorization.

11104144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18823 (or 18801 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11104144000 its reverse (44140111), we get a palindrome (11148284111).

The spelling of 11104144000 in words is "eleven billion, one hundred four million, one hundred forty-four thousand".