4688235648 has 288 divisors, whose sum is σ = 14458279680. Its totient is φ = 1456358400.

The previous prime is 4688235631. The next prime is 4688235649. The reversal of 4688235648 is 8465328864.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 4688235594 and 4688235603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4688235649) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 66031453 + ... + 66031523.

It is an arithmetic number, because the mean of its divisors is an integer number (50202360).

Almost surely, 2^4688235648 is an apocalyptic number.

4688235648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4688235648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7229139840).

4688235648 is an abundant number, since it is smaller than the sum of its proper divisors (9770044032).

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

4688235648 is a wasteful number, since it uses less digits than its factorization.

4688235648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 150 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The square root of 4688235648 is about 68470.6918907645. The cubic root of 4688235648 is about 1673.6699203167.

The spelling of 4688235648 in words is "four billion, six hundred eighty-eight million, two hundred thirty-five thousand, six hundred forty-eight".