16772735340167 has 2 divisors, whose sum is σ = 16772735340168. Its totient is φ = 16772735340166.

The previous prime is 16772735340131. The next prime is 16772735340173. The reversal of 16772735340167 is 76104353727761.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 16772735340167 - 2¹⁸ = 16772735078023 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (16772735340667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8386367670083 + 8386367670084.

It is an arithmetic number, because the mean of its divisors is an integer number (8386367670084).

Almost surely, 2^{16772735340167} is an apocalyptic number.

16772735340167 is a deficient number, since it is larger than the sum of its proper divisors (1).

16772735340167 is an equidigital number, since it uses as much as digits as its factorization.

16772735340167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31116960, while the sum is 59.

The spelling of 16772735340167 in words is "sixteen trillion, seven hundred seventy-two billion, seven hundred thirty-five million, three hundred forty thousand, one hundred sixty-seven".