4816511588961 has 6 divisors (see below), whose sum is σ = 6957183406290. Its totient is φ = 3211007725968.

The previous prime is 4816511588947. The next prime is 4816511588963. The reversal of 4816511588961 is 1698851156184.

4816511588961 is a `hidden beast` number, since 4 + 8 + 1 + 6 + 511 + 58 + 8 + 9 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3068999444736 + 1747512144225 = 1751856^2 + 1321935^2 .

It is not a de Polignac number, because 4816511588961 - 2⁵ = 4816511588929 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4816511588963) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 267583977156 + ... + 267583977173.

It is an arithmetic number, because the mean of its divisors is an integer number (1159530567715).

Almost surely, 2^{4816511588961} is an apocalyptic number.

It is an amenable number.

4816511588961 is a deficient number, since it is larger than the sum of its proper divisors (2140671817329).

4816511588961 is a wasteful number, since it uses less digits than its factorization.

4816511588961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535167954335 (or 535167954332 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 63.

The spelling of 4816511588961 in words is "four trillion, eight hundred sixteen billion, five hundred eleven million, five hundred eighty-eight thousand, nine hundred sixty-one".