12484412928 has 320 divisors, whose sum is σ = 40184094720. Its totient is φ = 3804143616.

The previous prime is 12484412911. The next prime is 12484412959. The reversal of 12484412928 is 82921448421.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22823151 + ... + 22823697.

It is an arithmetic number, because the mean of its divisors is an integer number (125575296).

Almost surely, 2^12484412928 is an apocalyptic number.

12484412928 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 12484412928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20092047360).

12484412928 is an abundant number, since it is smaller than the sum of its proper divisors (27699681792).

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

12484412928 is a wasteful number, since it uses less digits than its factorization.

12484412928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 692 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The spelling of 12484412928 in words is "twelve billion, four hundred eighty-four million, four hundred twelve thousand, nine hundred twenty-eight".