6914191365225 has 135 divisors (see below), whose sum is σ = 13006203480039. Its totient is φ = 3631213605600.

The previous prime is 6914191365203. The next prime is 6914191365233. The reversal of 6914191365225 is 5225631914196.

It is a happy number.

The square root of 6914191365225 is 2629485.

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

6914191365225 is a `hidden beast` number, since 6 + 91 + 4 + 19 + 13 + 6 + 522 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2489108891481 + 4425082473744 = 1577691^2 + 2103588^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 6914191365225 - 2⁷ = 6914191365097 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 134 ways as a sum of consecutive naturals, for example, 8401204164 + ... + 8401204986.

Almost surely, 2^{6914191365225} is an apocalyptic number.

6914191365225 is the 2629485-th square number.

6914191365225 is the 1314743-rd centered octagonal number.

It is an amenable number.

6914191365225 is a deficient number, since it is larger than the sum of its proper divisors (6092012114814).

6914191365225 is an frugal number, since it uses more digits than its factorization.

6914191365225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 902 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 54.

The spelling of 6914191365225 in words is "six trillion, nine hundred fourteen billion, one hundred ninety-one million, three hundred sixty-five thousand, two hundred twenty-five".