12338430039936 has 2048 divisors, whose sum is σ = 51006386995200. Its totient is φ = 2832504422400.

The previous prime is 12338430039919. The next prime is 12338430040021. The reversal of 12338430039936 is 63993003483321.

12338430039936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11046042450 + ... + 11046043566.

It is an arithmetic number, because the mean of its divisors is an integer number (24905462400).

Almost surely, 2^{12338430039936} is an apocalyptic number.

12338430039936 is a gapful number since it is divisible by the number (16) 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 12338430039936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25503193497600).

12338430039936 is an abundant number, since it is smaller than the sum of its proper divisors (38667956955264).

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

12338430039936 is a wasteful number, since it uses less digits than its factorization.

12338430039936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 54.

The spelling of 12338430039936 in words is "twelve trillion, three hundred thirty-eight billion, four hundred thirty million, thirty-nine thousand, nine hundred thirty-six".