12464480256 has 112 divisors (see below), whose sum is σ = 34384640400. Its totient is φ = 4011327488.

The previous prime is 12464480209. The next prime is 12464480293. The reversal of 12464480256 is 65208446421.

It is a super-3 number, since 3×12464480256³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 703960 + ... + 721448.

Almost surely, 2^12464480256 is an apocalyptic number.

12464480256 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 12464480256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17192320200).

12464480256 is an abundant number, since it is smaller than the sum of its proper divisors (21920160144).

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

12464480256 is an equidigital number, since it uses as much as digits as its factorization.

12464480256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17547 (or 17523 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 12464480256 in words is "twelve billion, four hundred sixty-four million, four hundred eighty thousand, two hundred fifty-six".