12456684448 has 288 divisors, whose sum is σ = 30241766016. Its totient is φ = 5018517504.

The previous prime is 12456684403. The next prime is 12456684467. The reversal of 12456684448 is 84448665421.

It is a super-3 number, since 3×12456684448³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

Its product of digits (5898240) is a multiple of the sum of its prime factors (256).

It is a junction number, because it is equal to n+sod(n) for n = 12456684395 and 12456684404.

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 47 ways as a sum of consecutive naturals, for example, 90924636 + ... + 90924772.

It is an arithmetic number, because the mean of its divisors is an integer number (105006132).

Almost surely, 2^12456684448 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 12456684448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15120883008).

12456684448 is an abundant number, since it is smaller than the sum of its proper divisors (17785081568).

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

12456684448 is a wasteful number, since it uses less digits than its factorization.

12456684448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 235 counting only the distinct ones).

The product of its digits is 5898240, while the sum is 52.

The spelling of 12456684448 in words is "twelve billion, four hundred fifty-six million, six hundred eighty-four thousand, four hundred forty-eight".