68680418643225 has 27 divisors (see below), whose sum is σ = 123014483601919. Its totient is φ = 36629490310800.

The previous prime is 68680418643217. The next prime is 68680418643257. The reversal of 68680418643225 is 52234681408686.

The square root of 68680418643225 is 8287365.

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

68680418643225 is a `hidden beast` number, since 6 + 8 + 6 + 80 + 41 + 86 + 432 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24724950711561 + 43955467931664 = 4972419^2 + 6629892^2 .

It is not a de Polignac number, because 68680418643225 - 2³ = 68680418643217 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 124034230 + ... + 124586720.

Almost surely, 2^{68680418643225} is an apocalyptic number.

68680418643225 is the 8287365-th square number.

68680418643225 is the 4143683-rd centered octagonal number.

It is an amenable number.

68680418643225 is a deficient number, since it is larger than the sum of its proper divisors (54334064958694).

68680418643225 is an frugal number, since it uses more digits than its factorization.

68680418643225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104998 (or 552499 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 63.

The spelling of 68680418643225 in words is "sixty-eight trillion, six hundred eighty billion, four hundred eighteen million, six hundred forty-three thousand, two hundred twenty-five".