167381101441 has 2 divisors, whose sum is σ = 167381101442. Its totient is φ = 167381101440.

The previous prime is 167381101373. The next prime is 167381101471. The reversal of 167381101441 is 144101183761.

167381101441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 165808582416 + 1572519025 = 407196^2 + 39655^2 .

It is a cyclic number.

It is not a de Polignac number, because 167381101441 - 2¹⁹ = 167380577153 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 167381101441.

It is not a weakly prime, because it can be changed into another prime (167381101471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 83690550720 + 83690550721.

It is an arithmetic number, because the mean of its divisors is an integer number (83690550721).

Almost surely, 2^167381101441 is an apocalyptic number.

It is an amenable number.

167381101441 is a deficient number, since it is larger than the sum of its proper divisors (1).

167381101441 is an equidigital number, since it uses as much as digits as its factorization.

167381101441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 37.

The spelling of 167381101441 in words is "one hundred sixty-seven billion, three hundred eighty-one million, one hundred one thousand, four hundred forty-one".