488282442336 has 432 divisors, whose sum is σ = 1607936161104. Its totient is φ = 139673714688.

The previous prime is 488282442317. The next prime is 488282442343. The reversal of 488282442336 is 633244282884.

488282442336 is a `hidden beast` number, since 48 + 8 + 28 + 244 + 2 + 336 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 89804610 + ... + 89810046.

It is an arithmetic number, because the mean of its divisors is an integer number (3722074447).

Almost surely, 2^488282442336 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 488282442336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803968080552).

488282442336 is an abundant number, since it is smaller than the sum of its proper divisors (1119653718768).

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

488282442336 is a wasteful number, since it uses less digits than its factorization.

488282442336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5583 (or 5555 counting only the distinct ones).

The product of its digits is 14155776, while the sum is 54.

The spelling of 488282442336 in words is "four hundred eighty-eight billion, two hundred eighty-two million, four hundred forty-two thousand, three hundred thirty-six".