12641827185 has 48 divisors (see below), whose sum is σ = 24235904784. Its totient is φ = 6055451136.

The previous prime is 12641827171. The next prime is 12641827189. The reversal of 12641827185 is 58172814621.

It can be written as a sum of positive squares in 8 ways, for example, as 158457744 + 12483369441 = 12588^2 + 111729^2 .

It is not a de Polignac number, because 12641827185 - 2⁷ = 12641827057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 12641827185.

It is not an unprimeable number, because it can be changed into a prime (12641827189) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 270382 + ... + 313671.

It is an arithmetic number, because the mean of its divisors is an integer number (504914683).

Almost surely, 2^12641827185 is an apocalyptic number.

12641827185 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12641827185 is a deficient number, since it is larger than the sum of its proper divisors (11594077599).

12641827185 is a wasteful number, since it uses less digits than its factorization.

12641827185 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584114 (or 584111 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The spelling of 12641827185 in words is "twelve billion, six hundred forty-one million, eight hundred twenty-seven thousand, one hundred eighty-five".