480004385716512 has 144 divisors (see below), whose sum is σ = 1388618188618752. Its totient is φ = 157258040163840.

The previous prime is 480004385716393. The next prime is 480004385716529. The reversal of 480004385716512 is 215617583400084.

It is a happy number.

480004385716512 is a `hidden beast` number, since 4 + 8 + 0 + 0 + 0 + 4 + 3 + 8 + 571 + 65 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×480004385716512² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57411039 + ... + 65238302.

It is an arithmetic number, because the mean of its divisors is an integer number (9643181865408).

Almost surely, 2^{480004385716512} is an apocalyptic number.

It is an amenable number.

480004385716512 is an abundant number, since it is smaller than the sum of its proper divisors (908613802902240).

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

480004385716512 is a wasteful number, since it uses less digits than its factorization.

480004385716512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122649591 (or 122649580 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 480004385716512 in words is "four hundred eighty trillion, four billion, three hundred eighty-five million, seven hundred sixteen thousand, five hundred twelve".