13774729312417 has 2 divisors, whose sum is σ = 13774729312418. Its totient is φ = 13774729312416.

The previous prime is 13774729312391. The next prime is 13774729312423. The reversal of 13774729312417 is 71421392747731.

It is a happy number.

13774729312417 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., 12265937180176 + 1508792132241 = 3502276^2 + 1228329^2 .

It is a cyclic number.

It is not a de Polignac number, because 13774729312417 - 2⁴³ = 4978636290209 is a prime.

It is not a weakly prime, because it can be changed into another prime (13774729382417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6887364656208 + 6887364656209.

It is an arithmetic number, because the mean of its divisors is an integer number (6887364656209).

Almost surely, 2^{13774729312417} is an apocalyptic number.

It is an amenable number.

13774729312417 is a deficient number, since it is larger than the sum of its proper divisors (1).

13774729312417 is an equidigital number, since it uses as much as digits as its factorization.

13774729312417 is an evil number, because the sum of its binary digits is even.

The product of its digits is 12446784, while the sum is 58.

The spelling of 13774729312417 in words is "thirteen trillion, seven hundred seventy-four billion, seven hundred twenty-nine million, three hundred twelve thousand, four hundred seventeen".