468852258864 has 160 divisors (see below), whose sum is σ = 1358499907584. Its totient is φ = 138086000640.

The previous prime is 468852258793. The next prime is 468852258869.

468852258864 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 468852258795 and 468852258804.

It is not an unprimeable number, because it can be changed into a prime (468852258869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18605217 + ... + 18630399.

Almost surely, 2^468852258864 is an apocalyptic number.

468852258864 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 468852258864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679249953792).

468852258864 is an abundant number, since it is smaller than the sum of its proper divisors (889647648720).

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

468852258864 is a wasteful number, since it uses less digits than its factorization.

468852258864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26195 (or 26189 counting only the distinct ones).

The product of its digits is 235929600, while the sum is 66.

The spelling of 468852258864 in words is "four hundred sixty-eight billion, eight hundred fifty-two million, two hundred fifty-eight thousand, eight hundred sixty-four".