14338965760 has 144 divisors (see below), whose sum is σ = 40166856576. Its totient is φ = 4801757184.

The previous prime is 14338965731. The next prime is 14338965763. The reversal of 14338965760 is 6756983341.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 14338965698 and 14338965707.

It is not an unprimeable number, because it can be changed into a prime (14338965763) 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 15 ways as a sum of consecutive naturals, for example, 366672 + ... + 403888.

It is an arithmetic number, because the mean of its divisors is an integer number (278936504).

Almost surely, 2^14338965760 is an apocalyptic number.

14338965760 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 14338965760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20083428288).

14338965760 is an abundant number, since it is smaller than the sum of its proper divisors (25827890816).

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

14338965760 is an equidigital number, since it uses as much as digits as its factorization.

14338965760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37288 (or 37274 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 52.

The spelling of 14338965760 in words is "fourteen billion, three hundred thirty-eight million, nine hundred sixty-five thousand, seven hundred sixty".