12885403909248 has 1536 divisors, whose sum is σ = 45269309030400. Its totient is φ = 3616106250240.

The previous prime is 12885403909241. The next prime is 12885403909277. The reversal of 12885403909248 is 84290930458821.

12885403909248 is a `hidden beast` number, since 1 + 2 + 8 + 85 + 40 + 390 + 92 + 48 = 666.

It is not an unprimeable number, because it can be changed into a prime (12885403909241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17921284633 + ... + 17921285351.

It is an arithmetic number, because the mean of its divisors is an integer number (29472206400).

Almost surely, 2^{12885403909248} is an apocalyptic number.

12885403909248 is a gapful number since it is divisible by the number (18) 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 12885403909248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22634654515200).

12885403909248 is an abundant number, since it is smaller than the sum of its proper divisors (32383905121152).

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

12885403909248 is a wasteful number, since it uses less digits than its factorization.

12885403909248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 12885403909248 in words is "twelve trillion, eight hundred eighty-five billion, four hundred three million, nine hundred nine thousand, two hundred forty-eight".