6668712288225 has 729 divisors, whose sum is σ = 14862941364609. Its totient is φ = 2855911219200.

The previous prime is 6668712288197. The next prime is 6668712288241. The reversal of 6668712288225 is 5228822178666.

It is a happy number.

The square root of 6668712288225 is 2582385.

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

It can be written as a sum of positive squares in 40 ways, for example, as 3229349167521 + 3439363120704 = 1797039^2 + 1854552^2 .

It is not a de Polignac number, because 6668712288225 - 2⁵ = 6668712288193 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 728 ways as a sum of consecutive naturals, for example, 162651519205 + ... + 162651519245.

Almost surely, 2^{6668712288225} is an apocalyptic number.

6668712288225 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

6668712288225 is the 2582385-th square number.

6668712288225 is the 1291193-rd centered octagonal number.

It is an amenable number.

6668712288225 is an abundant number, since it is smaller than the sum of its proper divisors (8194229076384).

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

6668712288225 is a wasteful number, since it uses less digits than its factorization.

6668712288225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 98 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 63.

The spelling of 6668712288225 in words is "six trillion, six hundred sixty-eight billion, seven hundred twelve million, two hundred eighty-eight thousand, two hundred twenty-five".