206034215547664 has 135 divisors (see below), whose sum is σ = 490110160143861. Its totient is φ = 83649889330560.

The previous prime is 206034215547617. The next prime is 206034215547691. The reversal of 206034215547664 is 466745512430602.

The square root of 206034215547664 is 14353892.

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

It can be written as a sum of positive squares in only one way, i.e., 22574775669264 + 183459439878400 = 4751292^2 + 13544720^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7636257054 + ... + 7636284034.

Almost surely, 2^{206034215547664} is an apocalyptic number.

206034215547664 is the 14353892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206034215547664

206034215547664 is an abundant number, since it is smaller than the sum of its proper divisors (284075944596197).

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

206034215547664 is an frugal number, since it uses more digits than its factorization.

206034215547664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54022 (or 27009 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 55.

The spelling of 206034215547664 in words is "two hundred six trillion, thirty-four billion, two hundred fifteen million, five hundred forty-seven thousand, six hundred sixty-four".