205736221746064 has 45 divisors (see below), whose sum is σ = 399043589323123. Its totient is φ = 102757350304256.

The previous prime is 205736221746061. The next prime is 205736221746109. The reversal of 205736221746064 is 460647122637502.

The square root of 205736221746064 is 14343508.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1846609210000 + 203889612536064 = 1358900^2 + 14278992^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 205736221745996 and 205736221746014.

It is not an unprimeable number, because it can be changed into a prime (205736221746061) 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 8 ways as a sum of consecutive naturals, for example, 89101870542 + ... + 89101872850.

Almost surely, 2^{205736221746064} is an apocalyptic number.

205736221746064 is the 14343508-th square number.

It is an amenable number.

205736221746064 is a deficient number, since it is larger than the sum of its proper divisors (193307367577059).

205736221746064 is an frugal number, since it uses more digits than its factorization.

205736221746064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7732 (or 3864 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 55.

The spelling of 205736221746064 in words is "two hundred five trillion, seven hundred thirty-six billion, two hundred twenty-one million, seven hundred forty-six thousand, sixty-four".