480565346346217 has 8 divisors (see below), whose sum is σ = 535407426490752. Its totient is φ = 427582319766000.

The previous prime is 480565346346209. The next prime is 480565346346221. The reversal of 480565346346217 is 712643643565084.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 480565346346217 - 2³ = 480565346346209 is a prime.

It is a super-2 number, since 2×480565346346217² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (480565346346277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 464763390534 + ... + 464763391567.

It is an arithmetic number, because the mean of its divisors is an integer number (66925928311344).

Almost surely, 2^{480565346346217} is an apocalyptic number.

480565346346217 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

It is an amenable number.

480565346346217 is a deficient number, since it is larger than the sum of its proper divisors (54842080144535).

480565346346217 is a wasteful number, since it uses less digits than its factorization.

480565346346217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929526782159.

The product of its (nonzero) digits is 348364800, while the sum is 64.

The spelling of 480565346346217 in words is "four hundred eighty trillion, five hundred sixty-five billion, three hundred forty-six million, three hundred forty-six thousand, two hundred seventeen".