11314144200 has 96 divisors (see below), whose sum is σ = 35173864800. Its totient is φ = 3008501760.

The previous prime is 11314144189. The next prime is 11314144201. The reversal of 11314144200 is 244141311.

It is not an unprimeable number, because it can be changed into a prime (11314144201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185091 + ... + 238509.

It is an arithmetic number, because the mean of its divisors is an integer number (366394425).

Almost surely, 2^11314144200 is an apocalyptic number.

11314144200 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 11314144200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17586932400).

11314144200 is an abundant number, since it is smaller than the sum of its proper divisors (23859720600).

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

11314144200 is a wasteful number, since it uses less digits than its factorization.

11314144200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53791 (or 53782 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 11314144200 its reverse (244141311), we get a palindrome (11558285511).

The spelling of 11314144200 in words is "eleven billion, three hundred fourteen million, one hundred forty-four thousand, two hundred".