4588416656 has 40 divisors (see below), whose sum is σ = 9208186680. Its totient is φ = 2212310016.

The previous prime is 4588416653. The next prime is 4588416661. The reversal of 4588416656 is 6566148854.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 744416656 + 3844000000 = 27284^2 + 62000^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4588416598 and 4588416607.

It is not an unprimeable number, because it can be changed into a prime (4588416653) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 389996 + ... + 401588.

It is an arithmetic number, because the mean of its divisors is an integer number (230204667).

Almost surely, 2^4588416656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4588416656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4604093340).

4588416656 is an abundant number, since it is smaller than the sum of its proper divisors (4619770024).

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

4588416656 is a wasteful number, since it uses less digits than its factorization.

4588416656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12483 (or 12477 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 53.

The square root of 4588416656 is about 67737.8524607918. The cubic root of 4588416656 is about 1661.7063617015.

The spelling of 4588416656 in words is "four billion, five hundred eighty-eight million, four hundred sixteen thousand, six hundred fifty-six".