2192972995161 has 63 divisors (see below), whose sum is σ = 3561174479439. Its totient is φ = 1349201975472.

The previous prime is 2192972995151. The next prime is 2192972995189. The reversal of 2192972995161 is 1615992792912.

The square root of 2192972995161 is 1480869.

It is a perfect power (a square), and thus also a powerful number.

2192972995161 is a `hidden beast` number, since 2 + 1 + 9 + 2 + 97 + 29 + 9 + 516 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 324404289225 + 1868568705936 = 569565^2 + 1366956^2 .

It is not a de Polignac number, because 2192972995161 - 2²⁷ = 2192838777433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2192972995111) 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 62 ways as a sum of consecutive naturals, for example, 519782910 + ... + 519787128.

Almost surely, 2^{2192972995161} is an apocalyptic number.

2192972995161 is the 1480869-th square number.

2192972995161 is the 740435-th centered octagonal number.

It is an amenable number.

2192972995161 is a deficient number, since it is larger than the sum of its proper divisors (1368201484278).

2192972995161 is an frugal number, since it uses more digits than its factorization.

2192972995161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8482 (or 4235 counting only the distinct ones).

The product of its digits is 11022480, while the sum is 63.

The spelling of 2192972995161 in words is "two trillion, one hundred ninety-two billion, nine hundred seventy-two million, nine hundred ninety-five thousand, one hundred sixty-one".