1688117693441 has 2 divisors, whose sum is σ = 1688117693442. Its totient is φ = 1688117693440.

The previous prime is 1688117693389. The next prime is 1688117693443. The reversal of 1688117693441 is 1443967118861.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1512469530625 + 175648162816 = 1229825^2 + 419104^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1688117693441 is a prime.

It is a Sophie Germain prime.

Together with 1688117693443, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1688117693443) 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, 844058846720 + 844058846721.

It is an arithmetic number, because the mean of its divisors is an integer number (844058846721).

Almost surely, 2^{1688117693441} is an apocalyptic number.

It is an amenable number.

1688117693441 is a deficient number, since it is larger than the sum of its proper divisors (1).

1688117693441 is an equidigital number, since it uses as much as digits as its factorization.

1688117693441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6967296, while the sum is 59.

The spelling of 1688117693441 in words is "one trillion, six hundred eighty-eight billion, one hundred seventeen million, six hundred ninety-three thousand, four hundred forty-one".