14304642768 has 200 divisors, whose sum is σ = 45051340488. Its totient is φ = 4355555328.

The previous prime is 14304642757. The next prime is 14304642817. The reversal of 14304642768 is 86724640341.

14304642768 is a `hidden beast` number, since 14 + 304 + 64 + 276 + 8 = 666.

14304642768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1986306624 + 12318336144 = 44568^2 + 110988^2 .

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 39 ways as a sum of consecutive naturals, for example, 1629880 + ... + 1638632.

Almost surely, 2^14304642768 is an apocalyptic number.

14304642768 is a gapful number since it is divisible by the number (18) 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 14304642768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22525670244).

14304642768 is an abundant number, since it is smaller than the sum of its proper divisors (30746697720).

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

14304642768 is a wasteful number, since it uses less digits than its factorization.

14304642768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8883 (or 8868 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 14304642768 in words is "fourteen billion, three hundred four million, six hundred forty-two thousand, seven hundred sixty-eight".