4656996564 has 48 divisors (see below), whose sum is σ = 12174568896. Its totient is φ = 1373068800.

The previous prime is 4656996511. The next prime is 4656996613.

4656996564 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4656996498 and 4656996507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 471877 + ... + 481644.

It is an arithmetic number, because the mean of its divisors is an integer number (253636852).

Almost surely, 2^4656996564 is an apocalyptic number.

4656996564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4656996564 is an abundant number, since it is smaller than the sum of its proper divisors (7517572332).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4656996564 is a wasteful number, since it uses less digits than its factorization.

4656996564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953576 (or 953574 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 60.

The square root of 4656996564 is about 68242.1904982541. The cubic root of 4656996564 is about 1669.9442490382.

The spelling of 4656996564 in words is "four billion, six hundred fifty-six million, nine hundred ninety-six thousand, five hundred sixty-four".