12368526768 has 240 divisors, whose sum is σ = 39103156960. Its totient is φ = 3720992256.

The previous prime is 12368526743. The next prime is 12368526769. The reversal of 12368526768 is 86762586321.

12368526768 is a `hidden beast` number, since 12 + 36 + 8 + 526 + 76 + 8 = 666.

12368526768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12368526769) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 12405246 + ... + 12406242.

Almost surely, 2^12368526768 is an apocalyptic number.

12368526768 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 12368526768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19551578480).

12368526768 is an abundant number, since it is smaller than the sum of its proper divisors (26734630192).

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

12368526768 is a wasteful number, since it uses less digits than its factorization.

12368526768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1062 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 12368526768 in words is "twelve billion, three hundred sixty-eight million, five hundred twenty-six thousand, seven hundred sixty-eight".