8216628160167 has 72 divisors (see below), whose sum is σ = 15033943594800. Its totient is φ = 4294716588288.

The previous prime is 8216628160151. The next prime is 8216628160253. The reversal of 8216628160167 is 7610618266128.

8216628160167 is a `hidden beast` number, since 8 + 2 + 1 + 6 + 6 + 28 + 1 + 601 + 6 + 7 = 666.

It is not a de Polignac number, because 8216628160167 - 2⁴ = 8216628160151 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8216628168167) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16664278 + ... + 17150259.

It is an arithmetic number, because the mean of its divisors is an integer number (208804772150).

Almost surely, 2^{8216628160167} is an apocalyptic number.

8216628160167 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

8216628160167 is a deficient number, since it is larger than the sum of its proper divisors (6817315434633).

8216628160167 is a wasteful number, since it uses less digits than its factorization.

8216628160167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33814605 (or 33814595 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 8216628160167 in words is "eight trillion, two hundred sixteen billion, six hundred twenty-eight million, one hundred sixty thousand, one hundred sixty-seven".