12846865536 has 96 divisors (see below), whose sum is σ = 37122391020. Its totient is φ = 4264427520.

The previous prime is 12846865531. The next prime is 12846865543. The reversal of 12846865536 is 63556864821.

12846865536 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 6 + 86 + 553 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12805185600 + 41679936 = 113160^2 + 6456^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (12846865531) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 254496 + ... + 300768.

Almost surely, 2^12846865536 is an apocalyptic number.

12846865536 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 12846865536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18561195510).

12846865536 is an abundant number, since it is smaller than the sum of its proper divisors (24275525484).

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

12846865536 is a wasteful number, since it uses less digits than its factorization.

12846865536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46534 (or 46519 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 12846865536 in words is "twelve billion, eight hundred forty-six million, eight hundred sixty-five thousand, five hundred thirty-six".