468330414417 has 12 divisors (see below), whose sum is σ = 685744078084. Its totient is φ = 307943285760.

The previous prime is 468330414407. The next prime is 468330414421. The reversal of 468330414417 is 714414033864.

468330414417 is a `hidden beast` number, since 468 + 3 + 30 + 4 + 144 + 17 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 340692848721 + 127637565696 = 583689^2 + 357264^2 .

It is not a de Polignac number, because 468330414417 - 2⁸ = 468330414161 is a prime.

It is a super-2 number, since 2×468330414417² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (468330414407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 356415184 + ... + 356416497.

Almost surely, 2^468330414417 is an apocalyptic number.

It is an amenable number.

468330414417 is a deficient number, since it is larger than the sum of its proper divisors (217413663667).

468330414417 is a wasteful number, since it uses less digits than its factorization.

468330414417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712831760 (or 712831757 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 468330414417 in words is "four hundred sixty-eight billion, three hundred thirty million, four hundred fourteen thousand, four hundred seventeen".