14032884096 has 256 divisors, whose sum is σ = 51637132800. Its totient is φ = 3644835840.

The previous prime is 14032884091. The next prime is 14032884121. The reversal of 14032884096 is 69048823041.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14032884091) 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 31 ways as a sum of consecutive naturals, for example, 239746 + ... + 292478.

It is an arithmetic number, because the mean of its divisors is an integer number (201707550).

Almost surely, 2^14032884096 is an apocalyptic number.

14032884096 is a gapful number since it is divisible by the number (16) 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 14032884096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25818566400).

14032884096 is an abundant number, since it is smaller than the sum of its proper divisors (37604248704).

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

14032884096 is a wasteful number, since it uses less digits than its factorization.

14032884096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52774 (or 52756 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 14032884096 in words is "fourteen billion, thirty-two million, eight hundred eighty-four thousand, ninety-six".