12468847104 has 480 divisors, whose sum is σ = 43373890560. Its totient is φ = 3502559232.

The previous prime is 12468847103. The next prime is 12468847159. The reversal of 12468847104 is 40174886421.

12468847104 is a `hidden beast` number, since 1 + 2 + 468 + 84 + 7 + 104 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12468847104.

It is not an unprimeable number, because it can be changed into a prime (12468847103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89703867 + ... + 89704005.

It is an arithmetic number, because the mean of its divisors is an integer number (90362272).

Almost surely, 2^12468847104 is an apocalyptic number.

12468847104 is a gapful number since it is divisible by the number (14) 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 12468847104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21686945280).

12468847104 is an abundant number, since it is smaller than the sum of its proper divisors (30905043456).

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

12468847104 is an equidigital number, since it uses as much as digits as its factorization.

12468847104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 12468847104 in words is "twelve billion, four hundred sixty-eight million, eight hundred forty-seven thousand, one hundred four".