16442072611167 has 16 divisors (see below), whose sum is σ = 26373249301760. Its totient is φ = 8900971638912.

The previous prime is 16442072611157. The next prime is 16442072611219. The reversal of 16442072611167 is 76111627024461.

It is not a de Polignac number, because 16442072611167 - 2⁶ = 16442072611103 is a prime.

It is a super-3 number, since 3×16442072611167³ (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16442072611157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20604100618 + ... + 20604101415.

It is an arithmetic number, because the mean of its divisors is an integer number (1648328081360).

Almost surely, 2^{16442072611167} is an apocalyptic number.

16442072611167 is a deficient number, since it is larger than the sum of its proper divisors (9931176690593).

16442072611167 is a wasteful number, since it uses less digits than its factorization.

16442072611167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41208202062.

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 16442072611167 in words is "sixteen trillion, four hundred forty-two billion, seventy-two million, six hundred eleven thousand, one hundred sixty-seven".