652443344256 has 64 divisors (see below), whose sum is σ = 1890602884800. Its totient is φ = 197710103040.

The previous prime is 652443344167. The next prime is 652443344257.

652443344256 is nontrivially palindromic in base 10.

652443344256 is digitally balanced in base 2, 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 (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (652443344257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77226286 + ... + 77234733.

It is an arithmetic number, because the mean of its divisors is an integer number (29540670075).

Almost surely, 2^652443344256 is an apocalyptic number.

652443344256 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

652443344256 is an abundant number, since it is smaller than the sum of its proper divisors (1238159540544).

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

652443344256 is a wasteful number, since it uses less digits than its factorization.

652443344256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154461047 (or 154461035 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 48.

It can be divided in two parts, 652443 and 344256, that added together give a palindrome (996699).

The spelling of 652443344256 in words is "six hundred fifty-two billion, four hundred forty-three million, three hundred forty-four thousand, two hundred fifty-six".