468312213864 has 128 divisors (see below), whose sum is σ = 1344810009600. Its totient is φ = 134406397440.

The previous prime is 468312213847. The next prime is 468312213937.

468312213864 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

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, 21693444 + ... + 21715020.

It is an arithmetic number, because the mean of its divisors is an integer number (10506328200).

Almost surely, 2^468312213864 is an apocalyptic number.

468312213864 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 468312213864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672405004800).

468312213864 is an abundant number, since it is smaller than the sum of its proper divisors (876497795736).

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

468312213864 is a wasteful number, since it uses less digits than its factorization.

468312213864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25943 (or 25939 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The spelling of 468312213864 in words is "four hundred sixty-eight billion, three hundred twelve million, two hundred thirteen thousand, eight hundred sixty-four".