167410117644041 has 2 divisors, whose sum is σ = 167410117644042. Its totient is φ = 167410117644040.

The previous prime is 167410117643987. The next prime is 167410117644073. The reversal of 167410117644041 is 140446711014761.

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., 138707268534025 + 28702849110016 = 11777405^2 + 5357504^2 .

It is a cyclic number.

It is not a de Polignac number, because 167410117644041 - 2³⁸ = 167135239737097 is a prime.

It is a super-2 number, since 2×167410117644041² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (167410117644541) 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, 83705058822020 + 83705058822021.

It is an arithmetic number, because the mean of its divisors is an integer number (83705058822021).

Almost surely, 2^{167410117644041} is an apocalyptic number.

It is an amenable number.

167410117644041 is a deficient number, since it is larger than the sum of its proper divisors (1).

167410117644041 is an equidigital number, since it uses as much as digits as its factorization.

167410117644041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 451584, while the sum is 47.

The spelling of 167410117644041 in words is "one hundred sixty-seven trillion, four hundred ten billion, one hundred seventeen million, six hundred forty-four thousand, forty-one".