11144114200 has 96 divisors (see below), whose sum is σ = 27055522800. Its totient is φ = 4263472640.

The previous prime is 11144114197. The next prime is 11144114239. The reversal of 11144114200 is 241144111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 611622 + ... + 629578.

Almost surely, 2^11144114200 is an apocalyptic number.

11144114200 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 11144114200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13527761400).

11144114200 is an abundant number, since it is smaller than the sum of its proper divisors (15911408600).

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

11144114200 is a wasteful number, since it uses less digits than its factorization.

11144114200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18109 (or 18100 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 11144114200 its reverse (241144111), we get a palindrome (11385258311).

The spelling of 11144114200 in words is "eleven billion, one hundred forty-four million, one hundred fourteen thousand, two hundred".