468585585864 has 384 divisors, whose sum is σ = 1564842240000. Its totient is φ = 124821043200.

The previous prime is 468585585863. The next prime is 468585585869.

468585585864 is a `hidden beast` number, since 4 + 6 + 8 + 5 + 8 + 558 + 5 + 8 + 64 = 666.

468585585864 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 468585585792 and 468585585801.

It is not an unprimeable number, because it can be changed into a prime (468585585863) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18150037 + ... + 18175835.

It is an arithmetic number, because the mean of its divisors is an integer number (4075110000).

Almost surely, 2^468585585864 is an apocalyptic number.

468585585864 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 468585585864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782421120000).

468585585864 is an abundant number, since it is smaller than the sum of its proper divisors (1096256654136).

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

468585585864 is a wasteful number, since it uses less digits than its factorization.

468585585864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25929 (or 25922 counting only the distinct ones).

The product of its digits is 1474560000, while the sum is 72.

The spelling of 468585585864 in words is "four hundred sixty-eight billion, five hundred eighty-five million, five hundred eighty-five thousand, eight hundred sixty-four".