482768283648 has 576 divisors, whose sum is σ = 1578677143680. Its totient is φ = 130557149184.

The previous prime is 482768283643. The next prime is 482768283649. The reversal of 482768283648 is 846382867284.

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

It is not an unprimeable number, because it can be changed into a prime (482768283643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 782444236 + ... + 782444852.

It is an arithmetic number, because the mean of its divisors is an integer number (2740758930).

Almost surely, 2^482768283648 is an apocalyptic number.

482768283648 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 482768283648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789338571840).

482768283648 is an abundant number, since it is smaller than the sum of its proper divisors (1095908860032).

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

482768283648 is a wasteful number, since it uses less digits than its factorization.

482768283648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 765 counting only the distinct ones).

The product of its digits is 198180864, while the sum is 66.

The spelling of 482768283648 in words is "four hundred eighty-two billion, seven hundred sixty-eight million, two hundred eighty-three thousand, six hundred forty-eight".