14438811456 has 84 divisors (see below), whose sum is σ = 41414232132. Its totient is φ = 4809682944.

The previous prime is 14438811427. The next prime is 14438811461. The reversal of 14438811456 is 65411883441.

14438811456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 125081856 + 14313729600 = 11184^2 + 119640^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 935256 + ... + 950568.

It is an arithmetic number, because the mean of its divisors is an integer number (493026573).

Almost surely, 2^14438811456 is an apocalyptic number.

14438811456 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 14438811456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20707116066).

14438811456 is an abundant number, since it is smaller than the sum of its proper divisors (26975420676).

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

14438811456 is a wasteful number, since it uses less digits than its factorization.

14438811456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16968 (or 16955 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The spelling of 14438811456 in words is "fourteen billion, four hundred thirty-eight million, eight hundred eleven thousand, four hundred fifty-six".