8634905667441 has 81 divisors (see below), whose sum is σ = 13610162313657. Its totient is φ = 5274527654160.

The previous prime is 8634905667407. The next prime is 8634905667461. The reversal of 8634905667441 is 1447665094368.

The square root of 8634905667441 is 2938521.

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

8634905667441 is a `hidden beast` number, since 8 + 63 + 4 + 9 + 0 + 566 + 7 + 4 + 4 + 1 = 666.

It is not a de Polignac number, because 8634905667441 - 2¹³ = 8634905659249 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8634905667461) 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, 5192365776 + ... + 5192367438.

Almost surely, 2^{8634905667441} is an apocalyptic number.

8634905667441 is the 2938521-st square number.

8634905667441 is the 1469261-st centered octagonal number.

It is an amenable number.

8634905667441 is a deficient number, since it is larger than the sum of its proper divisors (4975256646216).

8634905667441 is an equidigital number, since it uses as much as digits as its factorization.

8634905667441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3432 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 8634905667441 in words is "eight trillion, six hundred thirty-four billion, nine hundred five million, six hundred sixty-seven thousand, four hundred forty-one".