14437782816 has 96 divisors (see below), whose sum is σ = 38225634048. Its totient is φ = 4771307520.

The previous prime is 14437782809. The next prime is 14437782857. The reversal of 14437782816 is 61828773441.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7157040 + ... + 7159056.

It is an arithmetic number, because the mean of its divisors is an integer number (398183688).

Almost surely, 2^14437782816 is an apocalyptic number.

14437782816 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 14437782816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19112817024).

14437782816 is an abundant number, since it is smaller than the sum of its proper divisors (23787851232).

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

14437782816 is a wasteful number, since it uses less digits than its factorization.

14437782816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2634 (or 2626 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 51.

The spelling of 14437782816 in words is "fourteen billion, four hundred thirty-seven million, seven hundred eighty-two thousand, eight hundred sixteen".