36589568656 has 135 divisors (see below), whose sum is σ = 78806441649. Its totient is φ = 16453484544.

The previous prime is 36589568651. The next prime is 36589568669. The reversal of 36589568656 is 65686598563.

The square root of 36589568656 is 191284.

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 8927226256 + 27662342400 = 94484^2 + 166320^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 36589568591 and 36589568600.

It is not an unprimeable number, because it can be changed into a prime (36589568651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 377212000 + ... + 377212096.

Almost surely, 2^36589568656 is an apocalyptic number.

36589568656 is the 191284-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36589568656

36589568656 is an abundant number, since it is smaller than the sum of its proper divisors (42216872993).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36589568656 is an equidigital number, since it uses as much as digits as its factorization.

36589568656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 145 counting only the distinct ones).

The product of its digits is 279936000, while the sum is 67.

The spelling of 36589568656 in words is "thirty-six billion, five hundred eighty-nine million, five hundred sixty-eight thousand, six hundred fifty-six".