468643346864 has 120 divisors (see below), whose sum is σ = 1152733238208. Its totient is φ = 182513761920.

The previous prime is 468643346851. The next prime is 468643346867.

468643346864 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 468643346797 and 468643346806.

It is not an unprimeable number, because it can be changed into a prime (468643346867) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24163379 + ... + 24182765.

Almost surely, 2^468643346864 is an apocalyptic number.

468643346864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468643346864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576366619104).

468643346864 is an abundant number, since it is smaller than the sum of its proper divisors (684089891344).

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

468643346864 is a wasteful number, since it uses less digits than its factorization.

468643346864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22223 (or 22210 counting only the distinct ones).

The product of its digits is 191102976, while the sum is 62.

The spelling of 468643346864 in words is "four hundred sixty-eight billion, six hundred forty-three million, three hundred forty-six thousand, eight hundred sixty-four".