2629743164689 has 2 divisors, whose sum is σ = 2629743164690. Its totient is φ = 2629743164688.

The previous prime is 2629743164641. The next prime is 2629743164771. The reversal of 2629743164689 is 9864613479262.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2460480862464 + 169262302225 = 1568592^2 + 411415^2 .

It is a cyclic number.

It is not a de Polignac number, because 2629743164689 - 2²¹ = 2629741067537 is a prime.

It is a super-2 number, since 2×2629743164689² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2629743165689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1314871582344 + 1314871582345.

It is an arithmetic number, because the mean of its divisors is an integer number (1314871582345).

Almost surely, 2^{2629743164689} is an apocalyptic number.

It is an amenable number.

2629743164689 is a deficient number, since it is larger than the sum of its proper divisors (1).

2629743164689 is an equidigital number, since it uses as much as digits as its factorization.

2629743164689 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 188116992, while the sum is 67.

The spelling of 2629743164689 in words is "two trillion, six hundred twenty-nine billion, seven hundred forty-three million, one hundred sixty-four thousand, six hundred eighty-nine".