39674664225 has 135 divisors (see below), whose sum is σ = 83207455539. Its totient is φ = 18070063200.

The previous prime is 39674664203. The next prime is 39674664233. The reversal of 39674664225 is 52246647693.

The square root of 39674664225 is 199185.

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

39674664225 is a `hidden beast` number, since 3 + 96 + 74 + 66 + 422 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14282879121 + 25391785104 = 119511^2 + 159348^2 .

It is not a de Polignac number, because 39674664225 - 2¹¹ = 39674662177 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 146400840 + ... + 146401110.

Almost surely, 2^39674664225 is an apocalyptic number.

39674664225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

39674664225 is the 199185-th square number.

39674664225 is the 99593-rd centered octagonal number.

It is an amenable number.

39674664225 is an abundant number, since it is smaller than the sum of its proper divisors (43532791314).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

39674664225 is an frugal number, since it uses more digits than its factorization.

39674664225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 286 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 39674664225 in words is "thirty-nine billion, six hundred seventy-four million, six hundred sixty-four thousand, two hundred twenty-five".