2205768543489 has 81 divisors (see below), whose sum is σ = 3735606032067. Its totient is φ = 1250547848928.

The previous prime is 2205768543487. The next prime is 2205768543497. The reversal of 2205768543489 is 9843458675022.

The square root of 2205768543489 is 1485183.

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

2205768543489 is a `hidden beast` number, since 2 + 2 + 0 + 5 + 7 + 6 + 8 + 543 + 4 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2161208711025 + 44559832464 = 1470105^2 + 211092^2 .

It is not a de Polignac number, because 2205768543489 - 2¹ = 2205768543487 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2205768543487) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6144201892 + ... + 6144202250.

Almost surely, 2^{2205768543489} is an apocalyptic number.

2205768543489 is the 1485183-rd square number.

2205768543489 is the 742592-nd centered octagonal number.

It is an amenable number.

2205768543489 is a deficient number, since it is larger than the sum of its proper divisors (1529837488578).

2205768543489 is an frugal number, since it uses more digits than its factorization.

2205768543489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 2205768543489 in words is "two trillion, two hundred five billion, seven hundred sixty-eight million, five hundred forty-three thousand, four hundred eighty-nine".