12648118306001 has 2 divisors, whose sum is σ = 12648118306002. Its totient is φ = 12648118306000.

The previous prime is 12648118305971. The next prime is 12648118306007. The reversal of 12648118306001 is 10060381184621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9688428165376 + 2959690140625 = 3112624^2 + 1720375^2 .

It is a cyclic number.

It is not a de Polignac number, because 12648118306001 - 2¹⁰ = 12648118304977 is a prime.

It is a super-2 number, since 2×12648118306001² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12648118306001.

It is not a weakly prime, because it can be changed into another prime (12648118306007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6324059153000 + 6324059153001.

It is an arithmetic number, because the mean of its divisors is an integer number (6324059153001).

Almost surely, 2^{12648118306001} is an apocalyptic number.

It is an amenable number.

12648118306001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12648118306001 is an equidigital number, since it uses as much as digits as its factorization.

12648118306001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 55296, while the sum is 41.

The spelling of 12648118306001 in words is "twelve trillion, six hundred forty-eight billion, one hundred eighteen million, three hundred six thousand, one".