32168010739225 has 81 divisors (see below), whose sum is σ = 42106952768349. Its totient is φ = 24376448395200.

The previous prime is 32168010739213. The next prime is 32168010739247. The reversal of 32168010739225 is 52293701086123.

The square root of 32168010739225 is 5671685.

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

It can be written as a sum of positive squares in 4 ways, for example, as 9600646477081 + 22567364262144 = 3098491^2 + 4750512^2 .

It is not a de Polignac number, because 32168010739225 - 2¹⁹ = 32168010214937 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 97184322310 + ... + 97184322640.

Almost surely, 2^{32168010739225} is an apocalyptic number.

32168010739225 is the 5671685-th square number.

32168010739225 is the 2835843-rd centered octagonal number.

It is an amenable number.

32168010739225 is a deficient number, since it is larger than the sum of its proper divisors (9938942029124).

32168010739225 is an frugal number, since it uses more digits than its factorization.

32168010739225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

The spelling of 32168010739225 in words is "thirty-two trillion, one hundred sixty-eight billion, ten million, seven hundred thirty-nine thousand, two hundred twenty-five".