652244442256 has 120 divisors (see below), whose sum is σ = 1439598719160. Its totient is φ = 285723863040.

The previous prime is 652244442251. The next prime is 652244442347.

652244442256 is nontrivially palindromic in base 10.

652244442256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 138562617600 + 513681824656 = 372240^2 + 716716^2 .

It is not an unprimeable number, because it can be changed into a prime (652244442251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31261780 + ... + 31282636.

It is an arithmetic number, because the mean of its divisors is an integer number (11996655993).

Almost surely, 2^652244442256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 652244442256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719799359580).

652244442256 is an abundant number, since it is smaller than the sum of its proper divisors (787354276904).

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

652244442256 is a wasteful number, since it uses less digits than its factorization.

652244442256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21473 (or 21456 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 46.

The spelling of 652244442256 in words is "six hundred fifty-two billion, two hundred forty-four million, four hundred forty-two thousand, two hundred fifty-six".