12469441026105 has 256 divisors, whose sum is σ = 26993295360000. Its totient is φ = 5334572390400.

The previous prime is 12469441026083. The next prime is 12469441026137. The reversal of 12469441026105 is 50162014496421.

12469441026105 is a `hidden beast` number, since 1 + 2 + 46 + 94 + 410 + 2 + 6 + 105 = 666.

It is not a de Polignac number, because 12469441026105 - 2⁸ = 12469441025849 is a prime.

It is a super-4 number, since 4×12469441026105⁴ (a number of 53 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon 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, 2043832555 + ... + 2043838655.

It is an arithmetic number, because the mean of its divisors is an integer number (105442560000).

Almost surely, 2^{12469441026105} is an apocalyptic number.

12469441026105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12469441026105 is an abundant number, since it is smaller than the sum of its proper divisors (14523854333895).

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

12469441026105 is a wasteful number, since it uses less digits than its factorization.

12469441026105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7509 (or 7503 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 12469441026105 in words is "twelve trillion, four hundred sixty-nine billion, four hundred forty-one million, twenty-six thousand, one hundred five".