2271407680161 has 27 divisors (see below), whose sum is σ = 3363170942937. Its totient is φ = 1477217759040.

The previous prime is 2271407680153. The next prime is 2271407680247. The reversal of 2271407680161 is 1610867041722.

The square root of 2271407680161 is 1507119.

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

2271407680161 is a `hidden beast` number, since 2 + 2 + 7 + 1 + 407 + 6 + 80 + 161 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 675116939025 + 1596290741136 = 821655^2 + 1263444^2 .

It is not a de Polignac number, because 2271407680161 - 2³ = 2271407680153 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2271407680261) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 185369511 + ... + 185381763.

Almost surely, 2^{2271407680161} is an apocalyptic number.

2271407680161 is the 1507119-th square number.

2271407680161 is the 753560-th centered octagonal number.

It is an amenable number.

2271407680161 is a deficient number, since it is larger than the sum of its proper divisors (1091763262776).

2271407680161 is an frugal number, since it uses more digits than its factorization.

2271407680161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24594 (or 12297 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 2271407680161 in words is "two trillion, two hundred seventy-one billion, four hundred seven million, six hundred eighty thousand, one hundred sixty-one".