32909027016321 has 9 divisors (see below), whose sum is σ = 47535286104579. Its totient is φ = 21939339870936.

The previous prime is 32909027016301. The next prime is 32909027016331. The reversal of 32909027016321 is 12361072090923.

The square root of 32909027016321 is 5736639.

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

32909027016321 is a `hidden beast` number, since 3 + 2 + 9 + 0 + 9 + 0 + 2 + 7 + 0 + 1 + 632 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 82590138225 + 32826436878096 = 287385^2 + 5729436^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 32909027016321 - 2¹¹ = 32909027014273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (32909027016301) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16253811 + ... + 18166023.

Almost surely, 2^{32909027016321} is an apocalyptic number.

32909027016321 is the 5736639-th square number.

32909027016321 is the 2868320-th centered octagonal number.

It is an amenable number.

32909027016321 is a deficient number, since it is larger than the sum of its proper divisors (14626259088258).

32909027016321 is an frugal number, since it uses more digits than its factorization.

32909027016321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3824432 (or 1912216 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 32909027016321 in words is "thirty-two trillion, nine hundred nine billion, twenty-seven million, sixteen thousand, three hundred twenty-one".