14344310314000 has 160 divisors (see below), whose sum is σ = 35088979161600. Its totient is φ = 5670874035200.

The previous prime is 14344310313959. The next prime is 14344310314027. The reversal of 14344310314000 is 41301344341.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 14344310314000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 459046377 + ... + 459077623.

It is an arithmetic number, because the mean of its divisors is an integer number (219306119760).

Almost surely, 2^{14344310314000} is an apocalyptic number.

14344310314000 is a gapful number since it is divisible by the number (10) 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 14344310314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17544489580800).

14344310314000 is an abundant number, since it is smaller than the sum of its proper divisors (20744668847600).

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

14344310314000 is a wasteful number, since it uses less digits than its factorization.

14344310314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33938 (or 33922 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 14344310314000 its reverse (41301344341), we get a palindrome (14385611658341).

The spelling of 14344310314000 in words is "fourteen trillion, three hundred forty-four billion, three hundred ten million, three hundred fourteen thousand".