12648601257165 has 12 divisors (see below), whose sum is σ = 21924242179164. Its totient is φ = 6745920670464.

The previous prime is 12648601257137. The next prime is 12648601257209. The reversal of 12648601257165 is 56175210684621.

12648601257165 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 8 + 6 + 0 + 1 + 2 + 571 + 65 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5109507618084 + 7539093639081 = 2260422^2 + 2745741^2 .

It is not a de Polignac number, because 12648601257165 - 2²⁵ = 12648567702733 is a prime.

It is a super-2 number, since 2×12648601257165² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140540013924 + ... + 140540014013.

It is an arithmetic number, because the mean of its divisors is an integer number (1827020181597).

Almost surely, 2^{12648601257165} is an apocalyptic number.

12648601257165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12648601257165 is a deficient number, since it is larger than the sum of its proper divisors (9275640921999).

12648601257165 is a wasteful number, since it uses less digits than its factorization.

12648601257165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281080027948 (or 281080027945 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 12648601257165 in words is "twelve trillion, six hundred forty-eight billion, six hundred one million, two hundred fifty-seven thousand, one hundred sixty-five".