4064164161667 has 2 divisors, whose sum is σ = 4064164161668. Its totient is φ = 4064164161666.

The previous prime is 4064164161653. The next prime is 4064164161671. The reversal of 4064164161667 is 7661614614604.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 4064164161667 - 2¹⁹ = 4064163637379 is a prime.

It is not a weakly prime, because it can be changed into another prime (4064164161677) 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, 2032082080833 + 2032082080834.

It is an arithmetic number, because the mean of its divisors is an integer number (2032082080834).

Almost surely, 2^{4064164161667} is an apocalyptic number.

4064164161667 is a deficient number, since it is larger than the sum of its proper divisors (1).

4064164161667 is an equidigital number, since it uses as much as digits as its factorization.

4064164161667 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3483648, while the sum is 52.

The spelling of 4064164161667 in words is "four trillion, sixty-four billion, one hundred sixty-four million, one hundred sixty-one thousand, six hundred sixty-seven".