14200082784 has 120 divisors (see below), whose sum is σ = 41802824448. Its totient is φ = 4728741120.

The previous prime is 14200082773. The next prime is 14200082789. The reversal of 14200082784 is 48728000241.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14200082789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3577569 + ... + 3581535.

Almost surely, 2^14200082784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14200082784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20901412224).

14200082784 is an abundant number, since it is smaller than the sum of its proper divisors (27602741664).

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

14200082784 is a wasteful number, since it uses less digits than its factorization.

14200082784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5370 (or 5353 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 14200082784 in words is "fourteen billion, two hundred million, eighty-two thousand, seven hundred eighty-four".