14284645140 has 96 divisors (see below), whose sum is σ = 41043308544. Its totient is φ = 3710367360.

The previous prime is 14284645129. The next prime is 14284645169. The reversal of 14284645140 is 4154648241.

14284645140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 583017 + ... + 607023.

It is an arithmetic number, because the mean of its divisors is an integer number (427534464).

Almost surely, 2^14284645140 is an apocalyptic number.

14284645140 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 14284645140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20521654272).

14284645140 is an abundant number, since it is smaller than the sum of its proper divisors (26758663404).

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

14284645140 is a wasteful number, since it uses less digits than its factorization.

14284645140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24277 (or 24275 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The spelling of 14284645140 in words is "fourteen billion, two hundred eighty-four million, six hundred forty-five thousand, one hundred forty".