14434113212224 has 112 divisors (see below), whose sum is σ = 30449987715600. Its totient is φ = 6788620320768.

The previous prime is 14434113212219. The next prime is 14434113212251. The reversal of 14434113212224 is 42221231143441.

It can be written as a sum of positive squares in 8 ways, for example, as 1104365824 + 14433008846400 = 33232^2 + 3799080^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 14434113212224.

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 15 ways as a sum of consecutive naturals, for example, 588918882 + ... + 588943390.

Almost surely, 2^{14434113212224} 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 14434113212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15224993857800).

14434113212224 is an abundant number, since it is smaller than the sum of its proper divisors (16015874503376).

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

14434113212224 is an equidigital number, since it uses as much as digits as its factorization.

14434113212224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26445 (or 26401 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

Adding to 14434113212224 its reverse (42221231143441), we get a palindrome (56655344355665).

The spelling of 14434113212224 in words is "fourteen trillion, four hundred thirty-four billion, one hundred thirteen million, two hundred twelve thousand, two hundred twenty-four".