4661488224 has 96 divisors (see below), whose sum is σ = 13852671840. Its totient is φ = 1524496896.

The previous prime is 4661488211. The next prime is 4661488231. The reversal of 4661488224 is 4228841664.

4661488224 is a `hidden beast` number, since 4 + 6 + 614 + 8 + 8 + 2 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4661488224.

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, 5107 + ... + 96690.

It is an arithmetic number, because the mean of its divisors is an integer number (144298665).

Almost surely, 2^4661488224 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 4661488224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6926335920).

4661488224 is an abundant number, since it is smaller than the sum of its proper divisors (9191183616).

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

4661488224 is a wasteful number, since it uses less digits than its factorization.

4661488224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101869 (or 101855 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 4661488224 is about 68275.0922665067. The cubic root of 4661488224 is about 1670.4809620224.

The spelling of 4661488224 in words is "four billion, six hundred sixty-one million, four hundred eighty-eight thousand, two hundred twenty-four".