64266500856321 has 27 divisors (see below), whose sum is σ = 98611778793801. Its totient is φ = 40323822436224.

The previous prime is 64266500856307. The next prime is 64266500856427. The reversal of 64266500856321 is 12365800566246.

The square root of 64266500856321 is 8016639.

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

64266500856321 is a `hidden beast` number, since 6 + 4 + 2 + 6 + 6 + 50 + 0 + 8 + 563 + 21 = 666.

64266500856321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5789341271025 + 58477159585296 = 2406105^2 + 7647036^2 .

It is not a de Polignac number, because 64266500856321 - 2⁵ = 64266500856289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (64266500856301) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 408769995 + ... + 408927183.

Almost surely, 2^{64266500856321} is an apocalyptic number.

64266500856321 is the 8016639-th square number.

64266500856321 is the 4008320-th centered octagonal number.

It is an amenable number.

64266500856321 is a deficient number, since it is larger than the sum of its proper divisors (34345277937480).

64266500856321 is an frugal number, since it uses more digits than its factorization.

64266500856321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314418 (or 157209 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 64266500856321 in words is "sixty-four trillion, two hundred sixty-six billion, five hundred million, eight hundred fifty-six thousand, three hundred twenty-one".