14246378328 has 128 divisors (see below), whose sum is σ = 43947025920. Its totient is φ = 3747686400.

The previous prime is 14246378317. The next prime is 14246378401. The reversal of 14246378328 is 82387364241.

14246378328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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, 867651 + ... + 883917.

It is an arithmetic number, because the mean of its divisors is an integer number (343336140).

Almost surely, 2^14246378328 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 14246378328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21973512960).

14246378328 is an abundant number, since it is smaller than the sum of its proper divisors (29700647592).

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

14246378328 is a wasteful number, since it uses less digits than its factorization.

14246378328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16697 (or 16693 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 48.

The spelling of 14246378328 in words is "fourteen billion, two hundred forty-six million, three hundred seventy-eight thousand, three hundred twenty-eight".