12461344896 has 512 divisors, whose sum is σ = 47081502720. Its totient is φ = 2810511360.

The previous prime is 12461344849. The next prime is 12461344901. The reversal of 12461344896 is 69844316421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6533575 + ... + 6535481.

It is an arithmetic number, because the mean of its divisors is an integer number (91956060).

Almost surely, 2^12461344896 is an apocalyptic number.

12461344896 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 12461344896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23540751360).

12461344896 is an abundant number, since it is smaller than the sum of its proper divisors (34620157824).

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

12461344896 is a wasteful number, since it uses less digits than its factorization.

12461344896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1960 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The spelling of 12461344896 in words is "twelve billion, four hundred sixty-one million, three hundred forty-four thousand, eight hundred ninety-six".