11514245200 has 60 divisors (see below), whose sum is σ = 27768410208. Its totient is φ = 4588144000.

The previous prime is 11514245189. The next prime is 11514245207. The reversal of 11514245200 is 254241511.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11514245207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50475 + ... + 159925.

Almost surely, 2^11514245200 is an apocalyptic number.

11514245200 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 11514245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13884205104).

11514245200 is an abundant number, since it is smaller than the sum of its proper divisors (16254165008).

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

11514245200 is a wasteful number, since it uses less digits than its factorization.

11514245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109732 (or 109721 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 11514245200 its reverse (254241511), we get a palindrome (11768486711).

The spelling of 11514245200 in words is "eleven billion, five hundred fourteen million, two hundred forty-five thousand, two hundred".