3005167385011 has 24 divisors (see below), whose sum is σ = 3367158031440. Its totient is φ = 2679491358720.

The previous prime is 3005167384993. The next prime is 3005167385081. The reversal of 3005167385011 is 1105837615003.

It is not a de Polignac number, because 3005167385011 - 2⁷ = 3005167384883 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3005167385081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 630771 + ... + 2531443.

It is an arithmetic number, because the mean of its divisors is an integer number (140298251310).

Almost surely, 2^{3005167385011} is an apocalyptic number.

3005167385011 is a deficient number, since it is larger than the sum of its proper divisors (361990646429).

3005167385011 is a wasteful number, since it uses less digits than its factorization.

3005167385011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900947 (or 1900936 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The spelling of 3005167385011 in words is "three trillion, five billion, one hundred sixty-seven million, three hundred eighty-five thousand, eleven".