14414343144 has 64 divisors (see below), whose sum is σ = 37023436800. Its totient is φ = 4674331584.

The previous prime is 14414343121. The next prime is 14414343149. The reversal of 14414343144 is 44134341441.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14414343149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150117 + ... + 226635.

It is an arithmetic number, because the mean of its divisors is an integer number (578491200).

Almost surely, 2^14414343144 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 14414343144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18511718400).

14414343144 is an abundant number, since it is smaller than the sum of its proper divisors (22609093656).

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

14414343144 is a wasteful number, since it uses less digits than its factorization.

14414343144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76742 (or 76738 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

Adding to 14414343144 its reverse (44134341441), we get a palindrome (58548684585).

The spelling of 14414343144 in words is "fourteen billion, four hundred fourteen million, three hundred forty-three thousand, one hundred forty-four".