12436978048 has 512 divisors, whose sum is σ = 33312384000. Its totient is φ = 4541644800.

The previous prime is 12436978033. The next prime is 12436978051. The reversal of 12436978048 is 84087963421.

It is a junction number, because it is equal to n+sod(n) for n = 12436977986 and 12436978004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 303340908 + ... + 303340948.

It is an arithmetic number, because the mean of its divisors is an integer number (65063250).

Almost surely, 2^12436978048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12436978048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16656192000).

12436978048 is an abundant number, since it is smaller than the sum of its proper divisors (20875405952).

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

12436978048 is a wasteful number, since it uses less digits than its factorization.

12436978048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 52.

The spelling of 12436978048 in words is "twelve billion, four hundred thirty-six million, nine hundred seventy-eight thousand, forty-eight".