12814951968 has 576 divisors, whose sum is σ = 48542457600. Its totient is φ = 3175538688.

The previous prime is 12814951937. The next prime is 12814951973. The reversal of 12814951968 is 86915941821.

12814951968 is a `hidden beast` number, since 1 + 2 + 81 + 49 + 519 + 6 + 8 = 666.

12814951968 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 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 95 ways as a sum of consecutive naturals, for example, 21830971 + ... + 21831557.

It is an arithmetic number, because the mean of its divisors is an integer number (84275100).

Almost surely, 2^12814951968 is an apocalyptic number.

12814951968 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 12814951968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24271228800).

12814951968 is an abundant number, since it is smaller than the sum of its proper divisors (35727505632).

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

12814951968 is a wasteful number, since it uses less digits than its factorization.

12814951968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 629 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 54.

The spelling of 12814951968 in words is "twelve billion, eight hundred fourteen million, nine hundred fifty-one thousand, nine hundred sixty-eight".