44564446544 has 80 divisors (see below), whose sum is σ = 92596640400. Its totient is φ = 20703436800.

The previous prime is 44564446541. The next prime is 44564446567.

44564446544 is nontrivially palindromic in base 10.

44564446544 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 8 ways, for example, as 930250000 + 43634196544 = 30500^2 + 208888^2 .

It is a junction number, because it is equal to n+sod(n) for n = 44564446492 and 44564446501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44564446541) 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, 10244882 + ... + 10249230.

It is an arithmetic number, because the mean of its divisors is an integer number (1157458005).

Almost surely, 2^44564446544 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 44564446544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46298320200).

44564446544 is an abundant number, since it is smaller than the sum of its proper divisors (48032193856).

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

44564446544 is a wasteful number, since it uses less digits than its factorization.

44564446544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4848 (or 4842 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 50.

The spelling of 44564446544 in words is "forty-four billion, five hundred sixty-four million, four hundred forty-six thousand, five hundred forty-four".