480505180080345 has 96 divisors (see below), whose sum is σ = 922289492073600. Its totient is φ = 212863691658240.

The previous prime is 480505180080283. The next prime is 480505180080421. The reversal of 480505180080345 is 543080081505084.

It is not a de Polignac number, because 480505180080345 - 2⁸ = 480505180080089 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49016887 + ... + 57997116.

It is an arithmetic number, because the mean of its divisors is an integer number (9607182209100).

Almost surely, 2^{480505180080345} is an apocalyptic number.

It is an amenable number.

480505180080345 is a deficient number, since it is larger than the sum of its proper divisors (441784311993255).

480505180080345 is a wasteful number, since it uses less digits than its factorization.

480505180080345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107014215 (or 107014208 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 51.

The spelling of 480505180080345 in words is "four hundred eighty trillion, five hundred five billion, one hundred eighty million, eighty thousand, three hundred forty-five".