4633661314567 has 16 divisors (see below), whose sum is σ = 4893473340000. Its totient is φ = 4375444829184.

The previous prime is 4633661314553. The next prime is 4633661314613. The reversal of 4633661314567 is 7654131663364.

It is a cyclic number.

It is not a de Polignac number, because 4633661314567 - 2¹⁹ = 4633660790279 is a prime.

It is a super-2 number, since 2×4633661314567² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4633661314537) 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, 152162559 + ... + 152193007.

It is an arithmetic number, because the mean of its divisors is an integer number (305842083750).

Almost surely, 2^{4633661314567} is an apocalyptic number.

4633661314567 is a deficient number, since it is larger than the sum of its proper divisors (259812025433).

4633661314567 is a wasteful number, since it uses less digits than its factorization.

4633661314567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56370.

The product of its digits is 19595520, while the sum is 55.

The spelling of 4633661314567 in words is "four trillion, six hundred thirty-three billion, six hundred sixty-one million, three hundred fourteen thousand, five hundred sixty-seven".