12653630673417 has 24 divisors (see below), whose sum is σ = 18320968041480. Its totient is φ = 8415689909760.

The previous prime is 12653630673403. The next prime is 12653630673433. The reversal of 12653630673417 is 71437603635621.

It is a happy number.

12653630673417 is a `hidden beast` number, since 1 + 2 + 6 + 536 + 3 + 0 + 67 + 3 + 41 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5419123065801 + 7234507607616 = 2327901^2 + 2689704^2 .

It is not a de Polignac number, because 12653630673417 - 2¹⁴ = 12653630657033 is a prime.

It is a super-2 number, since 2×12653630673417² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12653630673317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10500867 + ... + 11643687.

It is an arithmetic number, because the mean of its divisors is an integer number (763373668395).

Almost surely, 2^{12653630673417} is an apocalyptic number.

It is an amenable number.

12653630673417 is a deficient number, since it is larger than the sum of its proper divisors (5667337368063).

12653630673417 is a wasteful number, since it uses less digits than its factorization.

12653630673417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145753 (or 1145750 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 12653630673417 in words is "twelve trillion, six hundred fifty-three billion, six hundred thirty million, six hundred seventy-three thousand, four hundred seventeen".