11627965480961 has 2 divisors, whose sum is σ = 11627965480962. Its totient is φ = 11627965480960.

The previous prime is 11627965480861. The next prime is 11627965481029. The reversal of 11627965480961 is 16908456972611.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6553758720961 + 5074206760000 = 2560031^2 + 2252600^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11627965480961 is a prime.

It is not a weakly prime, because it can be changed into another prime (11627965480861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5813982740480 + 5813982740481.

It is an arithmetic number, because the mean of its divisors is an integer number (5813982740481).

Almost surely, 2^{11627965480961} is an apocalyptic number.

It is an amenable number.

11627965480961 is a deficient number, since it is larger than the sum of its proper divisors (1).

11627965480961 is an equidigital number, since it uses as much as digits as its factorization.

11627965480961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 39191040, while the sum is 65.

The spelling of 11627965480961 in words is "eleven trillion, six hundred twenty-seven billion, nine hundred sixty-five million, four hundred eighty thousand, nine hundred sixty-one".