480012248716 has 288 divisors, whose sum is σ = 1197245145600. Its totient is φ = 163067074560.

The previous prime is 480012248689. The next prime is 480012248719. The reversal of 480012248716 is 617842210084.

It is not an unprimeable number, because it can be changed into a prime (480012248719) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 562733746 + ... + 562734598.

It is an arithmetic number, because the mean of its divisors is an integer number (4157101200).

Almost surely, 2^480012248716 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 480012248716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598622572800).

480012248716 is an abundant number, since it is smaller than the sum of its proper divisors (717232896884).

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

480012248716 is a wasteful number, since it uses less digits than its factorization.

480012248716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The spelling of 480012248716 in words is "four hundred eighty billion, twelve million, two hundred forty-eight thousand, seven hundred sixteen".