14331314443314 has 144 divisors (see below), whose sum is σ = 32665835442240. Its totient is φ = 4188343420800.

The previous prime is 14331314443301. The next prime is 14331314443319. The reversal of 14331314443314 is 41334441313341.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (14331314443319) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 561097384 + ... + 561122924.

It is an arithmetic number, because the mean of its divisors is an integer number (226846079460).

Almost surely, 2^{14331314443314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14331314443314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16332917721120).

14331314443314 is an abundant number, since it is smaller than the sum of its proper divisors (18334520998926).

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

14331314443314 is a wasteful number, since it uses less digits than its factorization.

14331314443314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26545 (or 26505 counting only the distinct ones).

The product of its digits is 248832, while the sum is 39.

Adding to 14331314443314 its reverse (41334441313341), we get a palindrome (55665755756655).

The spelling of 14331314443314 in words is "fourteen trillion, three hundred thirty-one billion, three hundred fourteen million, four hundred forty-three thousand, three hundred fourteen".