4882208423184 has 315 divisors, whose sum is σ = 14565970425909. Its totient is φ = 1584528272640.

The previous prime is 4882208423179. The next prime is 4882208423221. The reversal of 4882208423184 is 4813248022884.

It is a happy number.

The square root of 4882208423184 is 2209572.

It is a perfect power (a square), and thus also a powerful number.

4882208423184 is a `hidden beast` number, since 4 + 8 + 8 + 2 + 208 + 423 + 1 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 235252160784 + 4646956262400 = 485028^2 + 2155680^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4882208423184.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 9783984567 + ... + 9783985065.

Almost surely, 2^{4882208423184} is an apocalyptic number.

4882208423184 is the 2209572-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4882208423184

4882208423184 is an abundant number, since it is smaller than the sum of its proper divisors (9683762002725).

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

4882208423184 is an frugal number, since it uses more digits than its factorization.

4882208423184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 6291456, while the sum is 54.

The spelling of 4882208423184 in words is "four trillion, eight hundred eighty-two billion, two hundred eight million, four hundred twenty-three thousand, one hundred eighty-four".