36384625889089 has 9 divisors (see below), whose sum is σ = 36631361740323. Its totient is φ = 36139541037912.

The previous prime is 36384625889077. The next prime is 36384625889119. The reversal of 36384625889089 is 98098852648363.

The square root of 36384625889089 is 6031967.

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

It can be written as a sum of positive squares in only one way, i.e., 4262709424689 + 32121916464400 = 2064633^2 + 5667620^2 .

It is not a de Polignac number, because 36384625889089 - 2¹⁵ = 36384625856321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36384625889039) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 898742842 + ... + 898783324.

Almost surely, 2^{36384625889089} is an apocalyptic number.

36384625889089 is the 6031967-th square number.

36384625889089 is the 3015984-th centered octagonal number.

It is an amenable number.

36384625889089 is a deficient number, since it is larger than the sum of its proper divisors (246735851234).

36384625889089 is an frugal number, since it uses more digits than its factorization.

36384625889089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81264 (or 40632 counting only the distinct ones).

The product of its (nonzero) digits is 4299816960, while the sum is 79.

The spelling of 36384625889089 in words is "thirty-six trillion, three hundred eighty-four billion, six hundred twenty-five million, eight hundred eighty-nine thousand, eighty-nine".