482968813824 has 432 divisors, whose sum is σ = 1614421186560. Its totient is φ = 136013230080.

The previous prime is 482968813819. The next prime is 482968813891. The reversal of 482968813824 is 428318869284.

482968813824 is a `hidden beast` number, since 482 + 9 + 68 + 8 + 13 + 82 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 412440759 + ... + 412441929.

It is an arithmetic number, because the mean of its divisors is an integer number (3737086080).

Almost surely, 2^482968813824 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 482968813824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807210593280).

482968813824 is an abundant number, since it is smaller than the sum of its proper divisors (1131452372736).

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

482968813824 is a wasteful number, since it uses less digits than its factorization.

482968813824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1529 counting only the distinct ones).

The product of its digits is 42467328, while the sum is 63.

The spelling of 482968813824 in words is "four hundred eighty-two billion, nine hundred sixty-eight million, eight hundred thirteen thousand, eight hundred twenty-four".