480163863744 has 336 divisors, whose sum is σ = 1463723239680. Its totient is φ = 150175365120.

The previous prime is 480163863713. The next prime is 480163863749. The reversal of 480163863744 is 447368361084.

480163863744 is a `hidden beast` number, since 480 + 1 + 6 + 38 + 63 + 74 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (480163863749) 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, 238767699 + ... + 238769709.

Almost surely, 2^480163863744 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 480163863744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731861619840).

480163863744 is an abundant number, since it is smaller than the sum of its proper divisors (983559375936).

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

480163863744 is a wasteful number, since it uses less digits than its factorization.

480163863744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2388 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 480163863744 in words is "four hundred eighty billion, one hundred sixty-three million, eight hundred sixty-three thousand, seven hundred forty-four".