482049352224 has 1152 divisors, whose sum is σ = 1729747353600. Its totient is φ = 129969100800.

The previous prime is 482049352171. The next prime is 482049352237. The reversal of 482049352224 is 422253940284.

482049352224 is a `hidden beast` number, since 4 + 82 + 0 + 49 + 3 + 522 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 482049352224.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2161656177 + ... + 2161656399.

It is an arithmetic number, because the mean of its divisors is an integer number (1501516800).

Almost surely, 2^482049352224 is an apocalyptic number.

482049352224 is a gapful number since it is divisible by the number (44) 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 482049352224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864873676800).

482049352224 is an abundant number, since it is smaller than the sum of its proper divisors (1247698001376).

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

482049352224 is a wasteful number, since it uses less digits than its factorization.

482049352224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 482049352224 in words is "four hundred eighty-two billion, forty-nine million, three hundred fifty-two thousand, two hundred twenty-four".