2167170268167 has 12 divisors (see below), whose sum is σ = 3133076753664. Its totient is φ = 1443524932800.

The previous prime is 2167170268129. The next prime is 2167170268231. The reversal of 2167170268167 is 7618620717612.

2167170268167 is a `hidden beast` number, since 216 + 7 + 1 + 7 + 0 + 268 + 167 = 666.

It is not a de Polignac number, because 2167170268167 - 2⁶ = 2167170268103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2167170268567) 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 in 11 ways as a sum of consecutive naturals, for example, 104592898 + ... + 104613615.

It is an arithmetic number, because the mean of its divisors is an integer number (261089729472).

Almost surely, 2^{2167170268167} is an apocalyptic number.

2167170268167 is a deficient number, since it is larger than the sum of its proper divisors (965906485497).

2167170268167 is a wasteful number, since it uses less digits than its factorization.

2167170268167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209207670 (or 209207667 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 2167170268167 in words is "two trillion, one hundred sixty-seven billion, one hundred seventy million, two hundred sixty-eight thousand, one hundred sixty-seven".