4656116564 has 48 divisors (see below), whose sum is σ = 8998661952. Its totient is φ = 2090400000.

The previous prime is 4656116561. The next prime is 4656116651.

4656116564 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4656116561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2314319 + ... + 2316329.

It is an arithmetic number, because the mean of its divisors is an integer number (187472124).

Almost surely, 2^4656116564 is an apocalyptic number.

4656116564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4656116564 is a deficient number, since it is larger than the sum of its proper divisors (4342545388).

4656116564 is a wasteful number, since it uses less digits than its factorization.

4656116564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2648 (or 2646 counting only the distinct ones).

The product of its digits is 518400, while the sum is 44.

The square root of 4656116564 is about 68235.7425694189. The cubic root of 4656116564 is about 1669.8390565254.

The spelling of 4656116564 in words is "four billion, six hundred fifty-six million, one hundred sixteen thousand, five hundred sixty-four".