468393393864 has 192 divisors, whose sum is σ = 1344887147520. Its totient is φ = 135583113600.

The previous prime is 468393393829. The next prime is 468393393869.

468393393864 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 = 468393393795 and 468393393804.

It is not an unprimeable number, because it can be changed into a prime (468393393869) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 54163989 + ... + 54172635.

It is an arithmetic number, because the mean of its divisors is an integer number (7004620560).

Almost surely, 2^468393393864 is an apocalyptic number.

468393393864 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 468393393864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672443573760).

468393393864 is an abundant number, since it is smaller than the sum of its proper divisors (876493753656).

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

468393393864 is a wasteful number, since it uses less digits than its factorization.

468393393864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9512 (or 9497 counting only the distinct ones).

The product of its digits is 241864704, while the sum is 66.

The spelling of 468393393864 in words is "four hundred sixty-eight billion, three hundred ninety-three million, three hundred ninety-three thousand, eight hundred sixty-four".