123663809816801 has 2 divisors, whose sum is σ = 123663809816802. Its totient is φ = 123663809816800.

The previous prime is 123663809816779. The next prime is 123663809816809. The reversal of 123663809816801 is 108618908366321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86357990410000 + 37305819406801 = 9292900^2 + 6107849^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-123663809816801 is a prime.

It is not a weakly prime, because it can be changed into another prime (123663809816809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61831904908400 + 61831904908401.

It is an arithmetic number, because the mean of its divisors is an integer number (61831904908401).

Almost surely, 2^{123663809816801} is an apocalyptic number.

It is an amenable number.

123663809816801 is a deficient number, since it is larger than the sum of its proper divisors (1).

123663809816801 is an equidigital number, since it uses as much as digits as its factorization.

123663809816801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17915904, while the sum is 62.

The spelling of 123663809816801 in words is "one hundred twenty-three trillion, six hundred sixty-three billion, eight hundred nine million, eight hundred sixteen thousand, eight hundred one".