13772666627729 has 2 divisors, whose sum is σ = 13772666627730. Its totient is φ = 13772666627728.

The previous prime is 13772666627639. The next prime is 13772666627743. The reversal of 13772666627729 is 92772666627731.

13772666627729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9417828047104 + 4354838580625 = 3068848^2 + 2086825^2 .

It is a cyclic number.

It is not a de Polignac number, because 13772666627729 - 2¹² = 13772666623633 is a prime.

It is not a weakly prime, because it can be changed into another prime (13772666627779) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6886333313864 + 6886333313865.

It is an arithmetic number, because the mean of its divisors is an integer number (6886333313865).

Almost surely, 2^{13772666627729} is an apocalyptic number.

It is an amenable number.

13772666627729 is a deficient number, since it is larger than the sum of its proper divisors (1).

13772666627729 is an equidigital number, since it uses as much as digits as its factorization.

13772666627729 is an evil number, because the sum of its binary digits is even.

The product of its digits is 672126336, while the sum is 71.

The spelling of 13772666627729 in words is "thirteen trillion, seven hundred seventy-two billion, six hundred sixty-six million, six hundred twenty-seven thousand, seven hundred twenty-nine".