36656619089841 has 45 divisors (see below), whose sum is σ = 55203640429179. Its totient is φ = 24240745682496.

The previous prime is 36656619089801. The next prime is 36656619089891. The reversal of 36656619089841 is 14898091665663.

The square root of 36656619089841 is 6054471.

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

36656619089841 is a `hidden beast` number, since 3 + 6 + 6 + 566 + 19 + 0 + 8 + 9 + 8 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29912750255025 + 6743868834816 = 5469255^2 + 2596896^2 .

It is not a de Polignac number, because 36656619089841 - 2¹¹ = 36656619087793 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 36656619089841.

It is not an unprimeable number, because it can be changed into a prime (36656619089801) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6920257705 + ... + 6920263001.

Almost surely, 2^{36656619089841} is an apocalyptic number.

36656619089841 is the 6054471-st square number.

36656619089841 is the 3027236-th centered octagonal number.

It is an amenable number.

36656619089841 is a deficient number, since it is larger than the sum of its proper divisors (18547021339338).

36656619089841 is an frugal number, since it uses more digits than its factorization.

36656619089841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10860 (or 5427 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 72.

The spelling of 36656619089841 in words is "thirty-six trillion, six hundred fifty-six billion, six hundred nineteen million, eighty-nine thousand, eight hundred forty-one".