8623801630161 has 81 divisors (see below), whose sum is σ = 13438013202939. Its totient is φ = 5328223286400.

The previous prime is 8623801630159. The next prime is 8623801630163. The reversal of 8623801630161 is 1610361083268.

The square root of 8623801630161 is 2936631.

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

8623801630161 is a `hidden beast` number, since 8 + 6 + 2 + 3 + 8 + 0 + 1 + 630 + 1 + 6 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (8623801630159) and next prime (8623801630163).

It can be written as a sum of positive squares in only one way, i.e., 6714032411025 + 1909769219136 = 2591145^2 + 1381944^2 .

It is not a de Polignac number, because 8623801630161 - 2¹ = 8623801630159 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8623801630163) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 10633540446 + ... + 10633541256.

Almost surely, 2^{8623801630161} is an apocalyptic number.

8623801630161 is the 2936631-st square number.

8623801630161 is the 1468316-th centered octagonal number.

It is an amenable number.

8623801630161 is a deficient number, since it is larger than the sum of its proper divisors (4814211572778).

8623801630161 is an frugal number, since it uses more digits than its factorization.

8623801630161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 8623801630161 in words is "eight trillion, six hundred twenty-three billion, eight hundred one million, six hundred thirty thousand, one hundred sixty-one".