12849636825 has 96 divisors (see below), whose sum is σ = 25705200000. Its totient is φ = 6268389120.

The previous prime is 12849636817. The next prime is 12849636841. The reversal of 12849636825 is 52863694821.

12849636825 is a `hidden beast` number, since 128 + 496 + 3 + 6 + 8 + 25 = 666.

It is not a de Polignac number, because 12849636825 - 2³ = 12849636817 is a prime.

It is a super-2 number, since 2×12849636825² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 354651 + ... + 389199.

It is an arithmetic number, because the mean of its divisors is an integer number (267762500).

Almost surely, 2^12849636825 is an apocalyptic number.

12849636825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12849636825 is an abundant number, since it is smaller than the sum of its proper divisors (12855563175).

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

12849636825 is a wasteful number, since it uses less digits than its factorization.

12849636825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34616 (or 34605 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 12849636825 in words is "twelve billion, eight hundred forty-nine million, six hundred thirty-six thousand, eight hundred twenty-five".