2167261687161 has 96 divisors (see below), whose sum is σ = 3333116666880. Its totient is φ = 1354237771392.

The previous prime is 2167261687139. The next prime is 2167261687211. The reversal of 2167261687161 is 1617861627612.

2167261687161 is a `hidden beast` number, since 2 + 1 + 6 + 7 + 2 + 616 + 8 + 7 + 16 + 1 = 666.

It is not a de Polignac number, because 2167261687161 - 2¹⁰ = 2167261686137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2167261687098 and 2167261687107.

It is not an unprimeable number, because it can be changed into a prime (2167261687061) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 945163131 + ... + 945165423.

It is an arithmetic number, because the mean of its divisors is an integer number (34719965280).

Almost surely, 2^{2167261687161} is an apocalyptic number.

It is an amenable number.

2167261687161 is a deficient number, since it is larger than the sum of its proper divisors (1165854979719).

2167261687161 is a wasteful number, since it uses less digits than its factorization.

2167261687161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2875 (or 2872 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The spelling of 2167261687161 in words is "two trillion, one hundred sixty-seven billion, two hundred sixty-one million, six hundred eighty-seven thousand, one hundred sixty-one".