36576719441161 has 27 divisors (see below), whose sum is σ = 39830238041727. Its totient is φ = 33581639324160.

The previous prime is 36576719441149. The next prime is 36576719441203. The reversal of 36576719441161 is 16114491767563.

The square root of 36576719441161 is 6047869.

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 33989704544761 + 2587014896400 = 5830069^2 + 1608420^2 .

It is not a de Polignac number, because 36576719441161 - 2¹⁹ = 36576718916873 is a prime.

It is a super-2 number, since 2×36576719441161² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 36576719441161.

It is not an unprimeable number, because it can be changed into a prime (36576719442161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4215360355 + ... + 4215369031.

Almost surely, 2^{36576719441161} is an apocalyptic number.

36576719441161 is the 6047869-th square number.

36576719441161 is the 3023935-th centered octagonal number.

It is an amenable number.

36576719441161 is a deficient number, since it is larger than the sum of its proper divisors (3253518600566).

36576719441161 is an frugal number, since it uses more digits than its factorization.

36576719441161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17470 (or 8735 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 61.

The spelling of 36576719441161 in words is "thirty-six trillion, five hundred seventy-six billion, seven hundred nineteen million, four hundred forty-one thousand, one hundred sixty-one".