480847708721352 has 256 divisors, whose sum is σ = 1426568610378240. Its totient is φ = 132197307088896.

The previous prime is 480847708721329. The next prime is 480847708721543. The reversal of 480847708721352 is 253127807748084.

It is a super-3 number, since 3×480847708721352³ (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 827562678 + ... + 828143514.

It is an arithmetic number, because the mean of its divisors is an integer number (5572533634290).

Almost surely, 2^{480847708721352} is an apocalyptic number.

480847708721352 is a gapful number since it is divisible by the number (42) 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 480847708721352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713284305189120).

480847708721352 is an abundant number, since it is smaller than the sum of its proper divisors (945720901656888).

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

480847708721352 is a wasteful number, since it uses less digits than its factorization.

480847708721352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582360 (or 582356 counting only the distinct ones).

The product of its (nonzero) digits is 168591360, while the sum is 66.

The spelling of 480847708721352 in words is "four hundred eighty trillion, eight hundred forty-seven billion, seven hundred eight million, seven hundred twenty-one thousand, three hundred fifty-two".