13621688612641 has 2 divisors, whose sum is σ = 13621688612642. Its totient is φ = 13621688612640.

The previous prime is 13621688612627. The next prime is 13621688612663. The reversal of 13621688612641 is 14621688612631.

13621688612641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10786856392225 + 2834832220416 = 3284335^2 + 1683696^2 .

It is a cyclic number.

It is not a de Polignac number, because 13621688612641 - 2⁷ = 13621688612513 is a prime.

It is not a weakly prime, because it can be changed into another prime (13621688612611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6810844306320 + 6810844306321.

It is an arithmetic number, because the mean of its divisors is an integer number (6810844306321).

Almost surely, 2^{13621688612641} is an apocalyptic number.

It is an amenable number.

13621688612641 is a deficient number, since it is larger than the sum of its proper divisors (1).

13621688612641 is an equidigital number, since it uses as much as digits as its factorization.

13621688612641 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3981312, while the sum is 55.

The spelling of 13621688612641 in words is "thirteen trillion, six hundred twenty-one billion, six hundred eighty-eight million, six hundred twelve thousand, six hundred forty-one".