167248743041 has 2 divisors, whose sum is σ = 167248743042. Its totient is φ = 167248743040.

The previous prime is 167248743019. The next prime is 167248743047. The reversal of 167248743041 is 140347842761.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 142763065600 + 24485677441 = 377840^2 + 156479^2 .

It is a cyclic number.

It is not a de Polignac number, because 167248743041 - 2²⁶ = 167181634177 is a prime.

It is not a weakly prime, because it can be changed into another prime (167248743047) 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, 83624371520 + 83624371521.

It is an arithmetic number, because the mean of its divisors is an integer number (83624371521).

Almost surely, 2^167248743041 is an apocalyptic number.

It is an amenable number.

167248743041 is a deficient number, since it is larger than the sum of its proper divisors (1).

167248743041 is an equidigital number, since it uses as much as digits as its factorization.

167248743041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 903168, while the sum is 47.

The spelling of 167248743041 in words is "one hundred sixty-seven billion, two hundred forty-eight million, seven hundred forty-three thousand, forty-one".