12565446912 has 216 divisors, whose sum is σ = 39090653784. Its totient is φ = 3867082752.

The previous prime is 12565446841. The next prime is 12565446931. The reversal of 12565446912 is 21964456521.

12565446912 is a `hidden beast` number, since 12 + 5 + 6 + 544 + 6 + 91 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1895383296 + 10670063616 = 43536^2 + 103296^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2072878 + ... + 2078930.

It is an arithmetic number, because the mean of its divisors is an integer number (180975249).

Almost surely, 2^12565446912 is an apocalyptic number.

12565446912 is a gapful number since it is divisible by the number (12) 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 12565446912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19545326892).

12565446912 is an abundant number, since it is smaller than the sum of its proper divisors (26525206872).

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

12565446912 is a wasteful number, since it uses less digits than its factorization.

12565446912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6145 (or 6128 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 12565446912 in words is "twelve billion, five hundred sixty-five million, four hundred forty-six thousand, nine hundred twelve".