8461984167 has 32 divisors (see below), whose sum is σ = 15429263360. Its totient is φ = 4463462880.

The previous prime is 8461984159. The next prime is 8461984171. The reversal of 8461984167 is 7614891648.

8461984167 is a `hidden beast` number, since 8 + 4 + 619 + 8 + 4 + 16 + 7 = 666.

It is not a de Polignac number, because 8461984167 - 2³ = 8461984159 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8461984127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1719559 + ... + 1724472.

It is an arithmetic number, because the mean of its divisors is an integer number (482164480).

Almost surely, 2^8461984167 is an apocalyptic number.

8461984167 is a deficient number, since it is larger than the sum of its proper divisors (6967279193).

8461984167 is a wasteful number, since it uses less digits than its factorization.

8461984167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3444060 (or 3444054 counting only the distinct ones).

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

The square root of 8461984167 is about 91989.0437334795. The cubic root of 8461984167 is about 2037.7805034766.

The spelling of 8461984167 in words is "eight billion, four hundred sixty-one million, nine hundred eighty-four thousand, one hundred sixty-seven".