4516138846177 has 16 divisors (see below), whose sum is σ = 5258780236800. Its totient is φ = 3797869787712.

The previous prime is 4516138846151. The next prime is 4516138846207. The reversal of 4516138846177 is 7716488316154.

It is a happy number.

It is not a de Polignac number, because 4516138846177 - 2²³ = 4516130457569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4516135846177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37633323 + ... + 37753135.

It is an arithmetic number, because the mean of its divisors is an integer number (328673764800).

Almost surely, 2^{4516138846177} is an apocalyptic number.

It is an amenable number.

4516138846177 is a deficient number, since it is larger than the sum of its proper divisors (742641390623).

4516138846177 is a wasteful number, since it uses less digits than its factorization.

4516138846177 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221472.

The product of its digits is 27095040, while the sum is 61.

The spelling of 4516138846177 in words is "four trillion, five hundred sixteen billion, one hundred thirty-eight million, eight hundred forty-six thousand, one hundred seventy-seven".