34641994205025 has 27 divisors (see below), whose sum is σ = 62047818862419. Its totient is φ = 18475683156720.

The previous prime is 34641994205011. The next prime is 34641994205033. The reversal of 34641994205025 is 52050249914643.

The square root of 34641994205025 is 5885745.

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

34641994205025 is a `hidden beast` number, since 3 + 4 + 6 + 4 + 1 + 99 + 42 + 0 + 502 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12471117913809 + 22170876291216 = 3531447^2 + 4708596^2 .

It is not a de Polignac number, because 34641994205025 - 2¹⁵ = 34641994172257 is a prime.

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 26 ways as a sum of consecutive naturals, for example, 88089984 + ... + 88482366.

Almost surely, 2^{34641994205025} is an apocalyptic number.

34641994205025 is the 5885745-th square number.

34641994205025 is the 2942873-rd centered octagonal number.

It is an amenable number.

34641994205025 is a deficient number, since it is larger than the sum of its proper divisors (27405824657394).

34641994205025 is an frugal number, since it uses more digits than its factorization.

34641994205025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784782 (or 392391 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 34641994205025 in words is "thirty-four trillion, six hundred forty-one billion, nine hundred ninety-four million, two hundred five thousand, twenty-five".