11144313200 has 120 divisors (see below), whose sum is σ = 28250632320. Its totient is φ = 4213036800.

The previous prime is 11144313179. The next prime is 11144313251. The reversal of 11144313200 is 231344111.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3699695 + ... + 3702705.

It is an arithmetic number, because the mean of its divisors is an integer number (235421936).

Almost surely, 2^11144313200 is an apocalyptic number.

11144313200 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 11144313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14125316160).

11144313200 is an abundant number, since it is smaller than the sum of its proper divisors (17106319120).

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

11144313200 is a wasteful number, since it uses less digits than its factorization.

11144313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3535 (or 3524 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11144313200 its reverse (231344111), we get a palindrome (11375657311).

The spelling of 11144313200 in words is "eleven billion, one hundred forty-four million, three hundred thirteen thousand, two hundred".