468544568448 has 128 divisors (see below), whose sum is σ = 1416745728000. Its totient is φ = 135809991680.

The previous prime is 468544568441. The next prime is 468544568461. The reversal of 468544568448 is 844865445864.

468544568448 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (468544568441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2314248 + ... + 2508551.

It is an arithmetic number, because the mean of its divisors is an integer number (11068326000).

Almost surely, 2^468544568448 is an apocalyptic number.

468544568448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

468544568448 is an abundant number, since it is smaller than the sum of its proper divisors (948201159552).

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

468544568448 is a wasteful number, since it uses less digits than its factorization.

468544568448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4822850 (or 4822838 counting only the distinct ones).

The product of its digits is 471859200, while the sum is 66.

The spelling of 468544568448 in words is "four hundred sixty-eight billion, five hundred forty-four million, five hundred sixty-eight thousand, four hundred forty-eight".