12914214768 has 540 divisors, whose sum is σ = 46907903952. Its totient is φ = 3245598720.

The previous prime is 12914214743. The next prime is 12914214773. The reversal of 12914214768 is 86741241921.

12914214768 is a `hidden beast` number, since 129 + 1 + 421 + 47 + 68 = 666.

12914214768 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 107 ways as a sum of consecutive naturals, for example, 300330555 + ... + 300330597.

Almost surely, 2^12914214768 is an apocalyptic number.

12914214768 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 12914214768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23453951976).

12914214768 is an abundant number, since it is smaller than the sum of its proper divisors (33993689184).

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

12914214768 is a wasteful number, since it uses less digits than its factorization.

12914214768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 109 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 12914214768 in words is "twelve billion, nine hundred fourteen million, two hundred fourteen thousand, seven hundred sixty-eight".