115645564489 has 81 divisors (see below), whose sum is σ = 151211124351. Its totient is φ = 88145366400.

The previous prime is 115645564487. The next prime is 115645564537. The reversal of 115645564489 is 984465546511.

The square root of 115645564489 is 340067.

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 2090044089 + 113555520400 = 45717^2 + 336980^2 .

It is not a de Polignac number, because 115645564489 - 2¹ = 115645564487 is a prime.

It is a super-4 number, since 4×115645564489⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (115645564481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1145005539 + ... + 1145005639.

Almost surely, 2^115645564489 is an apocalyptic number.

115645564489 is the 340067-th square number.

115645564489 is the 170034-th centered octagonal number.

It is an amenable number.

115645564489 is a deficient number, since it is larger than the sum of its proper divisors (35565559862).

115645564489 is an equidigital number, since it uses as much as digits as its factorization.

115645564489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 158 counting only the distinct ones).

The product of its digits is 20736000, while the sum is 58.

The spelling of 115645564489 in words is "one hundred fifteen billion, six hundred forty-five million, five hundred sixty-four thousand, four hundred eighty-nine".