8605967889649 has 27 divisors (see below), whose sum is σ = 9406796613123. Its totient is φ = 7869726988032.

The previous prime is 8605967889599. The next prime is 8605967889653. The reversal of 8605967889649 is 9469887695068.

The square root of 8605967889649 is 2933593.

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

It can be written as a sum of positive squares in 13 ways, for example, as 3455936770225 + 5150031119424 = 1859015^2 + 2269368^2 .

It is a de Polignac number, because none of the positive numbers 2^k-8605967889649 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8605967889749) 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, 4309447119 + ... + 4309449115.

Almost surely, 2^{8605967889649} is an apocalyptic number.

8605967889649 is the 2933593-rd square number.

8605967889649 is the 1466797-th centered octagonal number.

It is an amenable number.

8605967889649 is a deficient number, since it is larger than the sum of its proper divisors (800828723474).

8605967889649 is an frugal number, since it uses more digits than its factorization.

8605967889649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4246 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 11287019520, while the sum is 85.

The spelling of 8605967889649 in words is "eight trillion, six hundred five billion, nine hundred sixty-seven million, eight hundred eighty-nine thousand, six hundred forty-nine".