14314145120 has 144 divisors (see below), whose sum is σ = 37277165520. Its totient is φ = 5190282240.

The previous prime is 14314145093. The next prime is 14314145123. The reversal of 14314145120 is 2154141341.

It is a self number, because there is not a number n which added to its sum of digits gives 14314145120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14314145123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8575646 + ... + 8577314.

It is an arithmetic number, because the mean of its divisors is an integer number (258869205).

Almost surely, 2^14314145120 is an apocalyptic number.

14314145120 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 14314145120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18638582760).

14314145120 is an abundant number, since it is smaller than the sum of its proper divisors (22963020400).

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

14314145120 is a wasteful number, since it uses less digits than its factorization.

14314145120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 14314145120 its reverse (2154141341), we get a palindrome (16468286461).

The spelling of 14314145120 in words is "fourteen billion, three hundred fourteen million, one hundred forty-five thousand, one hundred twenty".