14114315200 has 84 divisors (see below), whose sum is σ = 34883930232. Its totient is φ = 5620710400.

The previous prime is 14114315197. The next prime is 14114315203. The reversal of 14114315200 is 251341141.

It is an interprime number because it is at equal distance from previous prime (14114315197) and next prime (14114315203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14114315203) 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, 343770 + ... + 382630.

Almost surely, 2^14114315200 is an apocalyptic number.

14114315200 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 14114315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17441965116).

14114315200 is an abundant number, since it is smaller than the sum of its proper divisors (20769615032).

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

14114315200 is a wasteful number, since it uses less digits than its factorization.

14114315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39110 (or 39095 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 14114315200 its reverse (251341141), we get a palindrome (14365656341).

The spelling of 14114315200 in words is "fourteen billion, one hundred fourteen million, three hundred fifteen thousand, two hundred".