32662971441 has 45 divisors (see below), whose sum is σ = 50061136521. Its totient is φ = 21223367928.

The previous prime is 32662971413. The next prime is 32662971463. The reversal of 32662971441 is 14417926623.

The square root of 32662971441 is 180729.

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

32662971441 is a `hidden beast` number, since 3 + 2 + 6 + 629 + 7 + 14 + 4 + 1 = 666.

It is not a de Polignac number, because 32662971441 - 2¹¹ = 32662969393 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (32662971401) 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 44 ways as a sum of consecutive naturals, for example, 69941890 + ... + 69942356.

Almost surely, 2^32662971441 is an apocalyptic number.

32662971441 is the 180729-th square number.

32662971441 is the 90365-th centered octagonal number.

It is an amenable number.

32662971441 is a deficient number, since it is larger than the sum of its proper divisors (17398165080).

32662971441 is an frugal number, since it uses more digits than its factorization.

32662971441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 513 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 32662971441 in words is "thirty-two billion, six hundred sixty-two million, nine hundred seventy-one thousand, four hundred forty-one".