12338544376125 has 144 divisors (see below), whose sum is σ = 24603892058928. Its totient is φ = 5944210272000.

The previous prime is 12338544376121. The next prime is 12338544376139. The reversal of 12338544376125 is 52167344583321.

12338544376125 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 8 + 5 + 443 + 76 + 125 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6199517353689 + 6139027022436 = 2489883^2 + 2477706^2 .

It is not a de Polignac number, because 12338544376125 - 2² = 12338544376121 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12338544376121) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21082959 + ... + 21660291.

Almost surely, 2^{12338544376125} is an apocalyptic number.

12338544376125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12338544376125 is a deficient number, since it is larger than the sum of its proper divisors (12265347682803).

12338544376125 is a wasteful number, since it uses less digits than its factorization.

12338544376125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577533 (or 577509 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 12338544376125 in words is "twelve trillion, three hundred thirty-eight billion, five hundred forty-four million, three hundred seventy-six thousand, one hundred twenty-five".