14284800000 has 540 divisors, whose sum is σ = 53242967232. Its totient is φ = 3686400000.

The previous prime is 14284799857. The next prime is 14284800043. The reversal of 14284800000 is 848241.

It is a super-2 number, since 2×14284800000² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 460799985 + ... + 460800015.

Almost surely, 2^14284800000 is an apocalyptic number.

14284800000 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 14284800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26621483616).

14284800000 is an abundant number, since it is smaller than the sum of its proper divisors (38958167232).

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

14284800000 is an frugal number, since it uses more digits than its factorization.

14284800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 14284800000 in words is "fourteen billion, two hundred eighty-four million, eight hundred thousand".