14400314313344 has 64 divisors (see below), whose sum is σ = 29334936740040. Its totient is φ = 7038801309696.

The previous prime is 14400314313317. The next prime is 14400314313403. The reversal of 14400314313344 is 44331341300441.

It can be written as a sum of positive squares in 4 ways, for example, as 9645297953344 + 4755016360000 = 3105688^2 + 2180600^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1952399 + ... + 5710734.

Almost surely, 2^{14400314313344} is an apocalyptic number.

It is an amenable number.

14400314313344 is an abundant number, since it is smaller than the sum of its proper divisors (14934622426696).

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

14400314313344 is an equidigital number, since it uses as much as digits as its factorization.

14400314313344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7663477 (or 7663465 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

Adding to 14400314313344 its reverse (44331341300441), we get a palindrome (58731655613785).

The spelling of 14400314313344 in words is "fourteen trillion, four hundred billion, three hundred fourteen million, three hundred thirteen thousand, three hundred forty-four".