11144233300200 has 1536 divisors, whose sum is σ = 47781181808640. Its totient is φ = 2073566822400.

The previous prime is 11144233300199. The next prime is 11144233300223. The reversal of 11144233300200 is 200333244111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11177766102 + ... + 11177767098.

It is an arithmetic number, because the mean of its divisors is an integer number (31107540240).

Almost surely, 2^{11144233300200} is an apocalyptic number.

11144233300200 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 11144233300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23890590904320).

11144233300200 is an abundant number, since it is smaller than the sum of its proper divisors (36636948508440).

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

11144233300200 is a wasteful number, since it uses less digits than its factorization.

11144233300200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 11144233300200 its reverse (200333244111), we get a palindrome (11344566544311).

The spelling of 11144233300200 in words is "eleven trillion, one hundred forty-four billion, two hundred thirty-three million, three hundred thousand, two hundred".