32444883073681 has 27 divisors (see below), whose sum is σ = 35567746910139. Its totient is φ = 29582685127632.

The previous prime is 32444883073663. The next prime is 32444883073693. The reversal of 32444883073681 is 18637038844423.

The square root of 32444883073681 is 5696041.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4799538916225 + 27645344157456 = 2190785^2 + 5257884^2 .

It is not a de Polignac number, because 32444883073681 - 2⁵ = 32444883073649 is a prime.

It is a super-2 number, since 2×32444883073681² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32444883073481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6146025600 + ... + 6146030878.

Almost surely, 2^{32444883073681} is an apocalyptic number.

32444883073681 is the 5696041-st square number.

32444883073681 is the 2848021-st centered octagonal number.

It is an amenable number.

32444883073681 is a deficient number, since it is larger than the sum of its proper divisors (3122863836458).

32444883073681 is an frugal number, since it uses more digits than its factorization.

32444883073681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10750 (or 5375 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 61.

The spelling of 32444883073681 in words is "thirty-two trillion, four hundred forty-four billion, eight hundred eighty-three million, seventy-three thousand, six hundred eighty-one".