14406034384 has 80 divisors (see below), whose sum is σ = 33611678080. Its totient is φ = 5843197440.

The previous prime is 14406034301. The next prime is 14406034387. The reversal of 14406034384 is 48343060441.

14406034384 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 not an unprimeable number, because it can be changed into a prime (14406034387) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2578474 + ... + 2584054.

It is an arithmetic number, because the mean of its divisors is an integer number (420145976).

Almost surely, 2^14406034384 is an apocalyptic number.

14406034384 is a gapful number since it is divisible by the number (14) 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 14406034384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16805839040).

14406034384 is an abundant number, since it is smaller than the sum of its proper divisors (19205643696).

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

14406034384 is a wasteful number, since it uses less digits than its factorization.

14406034384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6828 (or 6822 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 37.

The spelling of 14406034384 in words is "fourteen billion, four hundred six million, thirty-four thousand, three hundred eighty-four".