468825528864 has 144 divisors (see below), whose sum is σ = 1561737161376. Its totient is φ = 121772851200.

The previous prime is 468825528859. The next prime is 468825528889.

468825528864 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 = 468825528795 and 468825528804.

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 23 ways as a sum of consecutive naturals, for example, 4478497 + ... + 4581984.

It is an arithmetic number, because the mean of its divisors is an integer number (10845396954).

Almost surely, 2^468825528864 is an apocalyptic number.

468825528864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

468825528864 is an abundant number, since it is smaller than the sum of its proper divisors (1092911632512).

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

468825528864 is a wasteful number, since it uses less digits than its factorization.

468825528864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9060519 (or 9060504 counting only the distinct ones).

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

It can be divided in two parts, 4688 and 25528864, that added together give a palindrome (25533552).

The spelling of 468825528864 in words is "four hundred sixty-eight billion, eight hundred twenty-five million, five hundred twenty-eight thousand, eight hundred sixty-four".