8237838264561 has 12 divisors (see below), whose sum is σ = 11943334290420. Its totient is φ = 5471476218720.

The previous prime is 8237838264559. The next prime is 8237838264629. The reversal of 8237838264561 is 1654628387328.

8237838264561 is a `hidden beast` number, since 8 + 2 + 3 + 7 + 8 + 3 + 8 + 2 + 64 + 561 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1826130606336 + 6411707658225 = 1351344^2 + 2532135^2 .

It is not a de Polignac number, because 8237838264561 - 2¹ = 8237838264559 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8237838264511) 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 11 ways as a sum of consecutive naturals, for example, 1701327250 + ... + 1701332091.

It is an arithmetic number, because the mean of its divisors is an integer number (995277857535).

Almost surely, 2^{8237838264561} is an apocalyptic number.

It is an amenable number.

8237838264561 is a deficient number, since it is larger than the sum of its proper divisors (3705496025859).

8237838264561 is a wasteful number, since it uses less digits than its factorization.

8237838264561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3402659616 (or 3402659613 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 8237838264561 in words is "eight trillion, two hundred thirty-seven billion, eight hundred thirty-eight million, two hundred sixty-four thousand, five hundred sixty-one".