1684872013729 has 2 divisors, whose sum is σ = 1684872013730. Its totient is φ = 1684872013728.

The previous prime is 1684872013703. The next prime is 1684872013817. The reversal of 1684872013729 is 9273102784861.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1339424302225 + 345447711504 = 1157335^2 + 587748^2 .

It is a cyclic number.

It is not a de Polignac number, because 1684872013729 - 2⁹ = 1684872013217 is a prime.

It is not a weakly prime, because it can be changed into another prime (1684872013529) 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, 842436006864 + 842436006865.

It is an arithmetic number, because the mean of its divisors is an integer number (842436006865).

Almost surely, 2^{1684872013729} is an apocalyptic number.

It is an amenable number.

1684872013729 is a deficient number, since it is larger than the sum of its proper divisors (1).

1684872013729 is an equidigital number, since it uses as much as digits as its factorization.

1684872013729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8128512, while the sum is 58.

The spelling of 1684872013729 in words is "one trillion, six hundred eighty-four billion, eight hundred seventy-two million, thirteen thousand, seven hundred twenty-nine".