468288512217 has 32 divisors (see below), whose sum is σ = 702732101760. Its totient is φ = 312011696736.

The previous prime is 468288512191. The next prime is 468288512221. The reversal of 468288512217 is 712215882864.

468288512217 is a `hidden beast` number, since 46 + 8 + 2 + 88 + 512 + 2 + 1 + 7 = 666.

It is not a de Polignac number, because 468288512217 - 2¹⁹ = 468287987929 is a prime.

It is a super-3 number, since 3×468288512217³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (468288512227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3772738 + ... + 3894884.

It is an arithmetic number, because the mean of its divisors is an integer number (21960378180).

Almost surely, 2^468288512217 is an apocalyptic number.

It is an amenable number.

468288512217 is a deficient number, since it is larger than the sum of its proper divisors (234443589543).

468288512217 is an equidigital number, since it uses as much as digits as its factorization.

468288512217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123921 (or 123903 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 54.

The spelling of 468288512217 in words is "four hundred sixty-eight billion, two hundred eighty-eight million, five hundred twelve thousand, two hundred seventeen".