8123236641 has 27 divisors (see below), whose sum is σ = 12711075507. Its totient is φ = 4996751760.

The previous prime is 8123236631. The next prime is 8123236657. The reversal of 8123236641 is 1466323218.

The square root of 8123236641 is 90129.

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

8123236641 is a `hidden beast` number, since 8 + 1 + 2 + 3 + 2 + 3 + 6 + 641 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1201662225 + 6921574416 = 34665^2 + 83196^2 .

It is not a de Polignac number, because 8123236641 - 2⁹ = 8123236129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8123236596 and 8123236605.

It is not an unprimeable number, because it can be changed into a prime (8123236631) 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, 3513876 + ... + 3516186.

Almost surely, 2^8123236641 is an apocalyptic number.

8123236641 is the 90129-th square number.

8123236641 is the 45065-th centered octagonal number.

It is an amenable number.

8123236641 is a deficient number, since it is larger than the sum of its proper divisors (4587838866).

8123236641 is an equidigital number, since it uses as much as digits as its factorization.

8123236641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4654 (or 2327 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The cubic root of 8123236641 is about 2010.2174332243.

Multiplying 8123236641 by its sum of digits (36), we get a square (292436519076 = 540774²).

Adding to 8123236641 its reverse (1466323218), we get a palindrome (9589559859).

The spelling of 8123236641 in words is "eight billion, one hundred twenty-three million, two hundred thirty-six thousand, six hundred forty-one".