32446456641 has 27 divisors (see below), whose sum is σ = 47431877571. Its totient is φ = 21373386624.

The previous prime is 32446456633. The next prime is 32446456663. The reversal of 32446456641 is 14665464423.

The square root of 32446456641 is 180129.

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

32446456641 is a `hidden beast` number, since 3 + 2 + 4 + 46 + 4 + 566 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14569697025 + 17876759616 = 120705^2 + 133704^2 .

It is not a de Polignac number, because 32446456641 - 2³ = 32446456633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (32446452641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 52417230 + ... + 52417848.

Almost surely, 2^32446456641 is an apocalyptic number.

32446456641 is the 180129-th square number.

32446456641 is the 90065-th centered octagonal number.

It is an amenable number.

32446456641 is a deficient number, since it is larger than the sum of its proper divisors (14985420930).

32446456641 is an frugal number, since it uses more digits than its factorization.

32446456641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 719 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 45.

The spelling of 32446456641 in words is "thirty-two billion, four hundred forty-six million, four hundred fifty-six thousand, six hundred forty-one".