81364877846341 has 2 divisors, whose sum is σ = 81364877846342. Its totient is φ = 81364877846340.

The previous prime is 81364877846339. The next prime is 81364877846381. The reversal of 81364877846341 is 14364877846318.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81037174264225 + 327703582116 = 9002065^2 + 572454^2 .

It is a cyclic number.

It is not a de Polignac number, because 81364877846341 - 2¹ = 81364877846339 is a prime.

Together with 81364877846339, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (81364877846381) 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, 40682438923170 + 40682438923171.

It is an arithmetic number, because the mean of its divisors is an integer number (40682438923171).

Almost surely, 2^{81364877846341} is an apocalyptic number.

It is an amenable number.

81364877846341 is a deficient number, since it is larger than the sum of its proper divisors (1).

81364877846341 is an equidigital number, since it uses as much as digits as its factorization.

81364877846341 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 520224768, while the sum is 70.

The spelling of 81364877846341 in words is "eighty-one trillion, three hundred sixty-four billion, eight hundred seventy-seven million, eight hundred forty-six thousand, three hundred forty-one".