13664666730625 has 15 divisors (see below), whose sum is σ = 17075483028373. Its totient is φ = 10931659453000.

The previous prime is 13664666730613. The next prime is 13664666730679. The reversal of 13664666730625 is 52603766646631.

It is a happy number.

The square root of 13664666730625 is 3696575.

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

It can be written as a sum of positive squares in 2 ways, for example, as 1071309871681 + 12593356858944 = 1035041^2 + 3548712^2 .

It is not a de Polignac number, because 13664666730625 - 2³⁵ = 13630306992257 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 92340444 + ... + 92488306.

Almost surely, 2^{13664666730625} is an apocalyptic number.

13664666730625 is the 3696575-th square number.

13664666730625 is the 1848288-th centered octagonal number.

It is an amenable number.

13664666730625 is a deficient number, since it is larger than the sum of its proper divisors (3410816297748).

13664666730625 is an frugal number, since it uses more digits than its factorization.

13664666730625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295746 (or 147868 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 61.

The spelling of 13664666730625 in words is "thirteen trillion, six hundred sixty-four billion, six hundred sixty-six million, seven hundred thirty thousand, six hundred twenty-five".