468241424142864 has 40 divisors (see below), whose sum is σ = 1209691786844832. Its totient is φ = 156071686609920.

The previous prime is 468241424142853. The next prime is 468241424142881.

It is a happy number.

468241424142864 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 468241424142798 and 468241424142807.

It is an unprimeable number.

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, 273766854 + ... + 275471909.

Almost surely, 2^{468241424142864} is an apocalyptic number.

It is an amenable number.

468241424142864 is an abundant number, since it is smaller than the sum of its proper divisors (741450362701968).

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

468241424142864 is a wasteful number, since it uses less digits than its factorization.

468241424142864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549256535 (or 549256529 counting only the distinct ones).

The product of its digits is 75497472, while the sum is 60.

The spelling of 468241424142864 in words is "four hundred sixty-eight trillion, two hundred forty-one billion, four hundred twenty-four million, one hundred forty-two thousand, eight hundred sixty-four".