12365403850368 has 256 divisors, whose sum is σ = 38278966694400. Its totient is φ = 3925071654912.

The previous prime is 12365403850367. The next prime is 12365403850417. The reversal of 12365403850368 is 86305830456321.

12365403850368 is a `hidden beast` number, since 1 + 2 + 3 + 6 + 5 + 40 + 38 + 503 + 68 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12365403850367) 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 31 ways as a sum of consecutive naturals, for example, 4981246 + ... + 7038722.

It is an arithmetic number, because the mean of its divisors is an integer number (149527213650).

Almost surely, 2^{12365403850368} is an apocalyptic number.

12365403850368 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 12365403850368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19139483347200).

12365403850368 is an abundant number, since it is smaller than the sum of its proper divisors (25913562844032).

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

12365403850368 is a wasteful number, since it uses less digits than its factorization.

12365403850368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057584 (or 2057566 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 12365403850368 in words is "twelve trillion, three hundred sixty-five billion, four hundred three million, eight hundred fifty thousand, three hundred sixty-eight".