12309845856 has 432 divisors, whose sum is σ = 43343657280. Its totient is φ = 3024483840.

The previous prime is 12309845839. The next prime is 12309845887. The reversal of 12309845856 is 65854890321.

It is a junction number, because it is equal to n+sod(n) for n = 12309845799 and 12309845808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18679255 + ... + 18679913.

It is an arithmetic number, because the mean of its divisors is an integer number (100332540).

Almost surely, 2^12309845856 is an apocalyptic number.

12309845856 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 12309845856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21671828640).

12309845856 is an abundant number, since it is smaller than the sum of its proper divisors (31033811424).

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

12309845856 is a wasteful number, since it uses less digits than its factorization.

12309845856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 12309845856 in words is "twelve billion, three hundred nine million, eight hundred forty-five thousand, eight hundred fifty-six".