12768238968372 has 36 divisors (see below), whose sum is σ = 32275682354916. Its totient is φ = 4256025375360.

The previous prime is 12768238968367. The next prime is 12768238968403. The reversal of 12768238968372 is 27386983286721.

12768238968372 is a `hidden beast` number, since 1 + 27 + 6 + 82 + 389 + 6 + 83 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4839137638416 + 7929101329956 = 2199804^2 + 2815866^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12768238968372.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 651622 + ... + 5095202.

It is an arithmetic number, because the mean of its divisors is an integer number (896546732081).

Almost surely, 2^{12768238968372} is an apocalyptic number.

12768238968372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12768238968372 is an abundant number, since it is smaller than the sum of its proper divisors (19507443386544).

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

12768238968372 is a wasteful number, since it uses less digits than its factorization.

12768238968372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4523408 (or 4523403 counting only the distinct ones).

The product of its digits is 585252864, while the sum is 72.

The spelling of 12768238968372 in words is "twelve trillion, seven hundred sixty-eight billion, two hundred thirty-eight million, nine hundred sixty-eight thousand, three hundred seventy-two".