36419788684161 has 81 divisors (see below), whose sum is σ = 56230244957289. Its totient is φ = 22710464179200.

The previous prime is 36419788684151. The next prime is 36419788684189. The reversal of 36419788684161 is 16148688791463.

The square root of 36419788684161 is 6034881.

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

36419788684161 is a `hidden beast` number, since 3 + 6 + 41 + 97 + 8 + 86 + 8 + 416 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10264174250625 + 26155614433536 = 3203775^2 + 5114256^2 .

It is not a de Polignac number, because 36419788684161 - 2¹¹ = 36419788682113 is a prime.

It is a super-3 number, since 3×36419788684161³ (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 36419788684161.

It is not an unprimeable number, because it can be changed into a prime (36419788684151) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 74174722126 + ... + 74174722616.

Almost surely, 2^{36419788684161} is an apocalyptic number.

36419788684161 is the 6034881-st square number.

36419788684161 is the 3017441-st centered octagonal number.

It is an amenable number.

36419788684161 is a deficient number, since it is larger than the sum of its proper divisors (19810456273128).

36419788684161 is an frugal number, since it uses more digits than its factorization.

36419788684161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 752 counting only the distinct ones).

The product of its digits is 334430208, while the sum is 72.

The spelling of 36419788684161 in words is "thirty-six trillion, four hundred nineteen billion, seven hundred eighty-eight million, six hundred eighty-four thousand, one hundred sixty-one".