4564116765 has 48 divisors (see below), whose sum is σ = 8532905472. Its totient is φ = 2243463552.

The previous prime is 4564116751. The next prime is 4564116829. The reversal of 4564116765 is 5676114654.

4564116765 is a `hidden beast` number, since 4 + 564 + 1 + 16 + 76 + 5 = 666.

It is not a de Polignac number, because 4564116765 - 2¹² = 4564112669 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4564116765.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 393844 + ... + 405266.

It is an arithmetic number, because the mean of its divisors is an integer number (177768864).

Almost surely, 2^4564116765 is an apocalyptic number.

4564116765 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4564116765 is a deficient number, since it is larger than the sum of its proper divisors (3968788707).

4564116765 is a wasteful number, since it uses less digits than its factorization.

4564116765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12130 (or 12127 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 4564116765 is about 67558.2472019516. The cubic root of 4564116765 is about 1658.7677462856.

The spelling of 4564116765 in words is "four billion, five hundred sixty-four million, one hundred sixteen thousand, seven hundred sixty-five".