84181493468113 has 2 divisors, whose sum is σ = 84181493468114. Its totient is φ = 84181493468112.

The previous prime is 84181493467991. The next prime is 84181493468203. The reversal of 84181493468113 is 31186439418148.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80744296123089 + 3437197345024 = 8985783^2 + 1853968^2 .

It is a cyclic number.

It is not a de Polignac number, because 84181493468113 - 2²¹ = 84181491370961 is a prime.

It is not a weakly prime, because it can be changed into another prime (84181493468713) 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, 42090746734056 + 42090746734057.

It is an arithmetic number, because the mean of its divisors is an integer number (42090746734057).

Almost surely, 2^{84181493468113} is an apocalyptic number.

It is an amenable number.

84181493468113 is a deficient number, since it is larger than the sum of its proper divisors (1).

84181493468113 is an equidigital number, since it uses as much as digits as its factorization.

84181493468113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15925248, while the sum is 61.

The spelling of 84181493468113 in words is "eighty-four trillion, one hundred eighty-one billion, four hundred ninety-three million, four hundred sixty-eight thousand, one hundred thirteen".