2167065721161 has 12 divisors (see below), whose sum is σ = 3414770227440. Its totient is φ = 1313373164280.

The previous prime is 2167065721087. The next prime is 2167065721187. The reversal of 2167065721161 is 1611275607612.

2167065721161 is a `hidden beast` number, since 2 + 1 + 6 + 7 + 0 + 6 + 572 + 11 + 61 = 666.

It is not a de Polignac number, because 2167065721161 - 2¹⁷ = 2167065590089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2167065721661) 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, 10944776271 + ... + 10944776468.

It is an arithmetic number, because the mean of its divisors is an integer number (284564185620).

Almost surely, 2^{2167065721161} is an apocalyptic number.

It is an amenable number.

2167065721161 is a deficient number, since it is larger than the sum of its proper divisors (1247704506279).

2167065721161 is a wasteful number, since it uses less digits than its factorization.

2167065721161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21889552756 (or 21889552753 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 2167065721161 in words is "two trillion, one hundred sixty-seven billion, sixty-five million, seven hundred twenty-one thousand, one hundred sixty-one".