14225680128 has 288 divisors, whose sum is σ = 43011908352. Its totient is φ = 4136140800.

The previous prime is 14225680103. The next prime is 14225680129. The reversal of 14225680128 is 82108652241.

It is a happy number.

14225680128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14225680129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23206350 + ... + 23206962.

It is an arithmetic number, because the mean of its divisors is an integer number (149346904).

Almost surely, 2^14225680128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14225680128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21505954176).

14225680128 is an abundant number, since it is smaller than the sum of its proper divisors (28786228224).

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

14225680128 is a wasteful number, since it uses less digits than its factorization.

14225680128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The spelling of 14225680128 in words is "fourteen billion, two hundred twenty-five million, six hundred eighty thousand, one hundred twenty-eight".