14288275200 has 216 divisors, whose sum is σ = 48431132848. Its totient is φ = 3707043840.

The previous prime is 14288275187. The next prime is 14288275201. The reversal of 14288275200 is 257288241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14288275201) 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, 700344 + ... + 720456.

Almost surely, 2^14288275200 is an apocalyptic number.

14288275200 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 14288275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24215566424).

14288275200 is an abundant number, since it is smaller than the sum of its proper divisors (34142857648).

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

14288275200 is a wasteful number, since it uses less digits than its factorization.

14288275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20179 (or 20160 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The spelling of 14288275200 in words is "fourteen billion, two hundred eighty-eight million, two hundred seventy-five thousand, two hundred".