14114816584 has 64 divisors (see below), whose sum is σ = 29910228480. Its totient is φ = 6186432000.

The previous prime is 14114816563. The next prime is 14114816623. The reversal of 14114816584 is 48561841141.

It is a super-2 number, since 2×14114816584² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14114816584.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 757362 + ... + 775774.

It is an arithmetic number, because the mean of its divisors is an integer number (467347320).

Almost surely, 2^14114816584 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 14114816584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14955114240).

14114816584 is an abundant number, since it is smaller than the sum of its proper divisors (15795411896).

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

14114816584 is a wasteful number, since it uses less digits than its factorization.

14114816584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18742 (or 18738 counting only the distinct ones).

The product of its digits is 122880, while the sum is 43.

The spelling of 14114816584 in words is "fourteen billion, one hundred fourteen million, eight hundred sixteen thousand, five hundred eighty-four".