14284053000 has 256 divisors, whose sum is σ = 56592806400. Its totient is φ = 3264883200.

The previous prime is 14284052999. The next prime is 14284053013. The reversal of 14284053000 is 35048241.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 151212 + ... + 226788.

It is an arithmetic number, because the mean of its divisors is an integer number (221065650).

Almost surely, 2^14284053000 is an apocalyptic number.

14284053000 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 14284053000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28296403200).

14284053000 is an abundant number, since it is smaller than the sum of its proper divisors (42308753400).

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

14284053000 is a wasteful number, since it uses less digits than its factorization.

14284053000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75614 (or 75594 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 14284053000 in words is "fourteen billion, two hundred eighty-four million, fifty-three thousand".