11514430200 has 768 divisors, whose sum is σ = 46976993280. Its totient is φ = 2266767360.

The previous prime is 11514430181. The next prime is 11514430231. The reversal of 11514430200 is 203441511.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66557314 + ... + 66557486.

It is an arithmetic number, because the mean of its divisors is an integer number (61167960).

Almost surely, 2^11514430200 is an apocalyptic number.

11514430200 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 11514430200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23488496640).

11514430200 is an abundant number, since it is smaller than the sum of its proper divisors (35462563080).

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

11514430200 is a wasteful number, since it uses less digits than its factorization.

11514430200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 11514430200 its reverse (203441511), we get a palindrome (11717871711).

The spelling of 11514430200 in words is "eleven billion, five hundred fourteen million, four hundred thirty thousand, two hundred".