673688016225 has 81 divisors (see below), whose sum is σ = 1403833775097. Its totient is φ = 307932266880.

The previous prime is 673688016217. The next prime is 673688016241. The reversal of 673688016225 is 522610886376.

The square root of 673688016225 is 820785.

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

673688016225 is a `hidden beast` number, since 6 + 7 + 3 + 6 + 8 + 8 + 0 + 1 + 622 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 399736269009 + 273951747216 = 632247^2 + 523404^2 .

It is not a de Polignac number, because 673688016225 - 2³ = 673688016217 is a prime.

It is a Curzon 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, 86178517 + ... + 86186333.

Almost surely, 2^673688016225 is an apocalyptic number.

673688016225 is the 820785-th square number.

673688016225 is the 410393-rd centered octagonal number.

It is an amenable number.

673688016225 is an abundant number, since it is smaller than the sum of its proper divisors (730145758872).

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

673688016225 is an frugal number, since it uses more digits than its factorization.

673688016225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15664 (or 7832 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 673688016225 in words is "six hundred seventy-three billion, six hundred eighty-eight million, sixteen thousand, two hundred twenty-five".