205218011745 has 24 divisors (see below), whose sum is σ = 356410103400. Its totient is φ = 109234565376.

The previous prime is 205218011731. The next prime is 205218011749. The reversal of 205218011745 is 547110812502.

It is a happy number.

205218011745 is a `hidden beast` number, since 2 + 0 + 521 + 80 + 1 + 17 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4700336481 + 200517675264 = 68559^2 + 447792^2 .

It is not a de Polignac number, because 205218011745 - 2¹⁰ = 205218010721 is a prime.

It is a super-2 number, since 2×205218011745² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (205218011749) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4456860 + ... + 4502669.

It is an arithmetic number, because the mean of its divisors is an integer number (14850420975).

Almost surely, 2^205218011745 is an apocalyptic number.

It is an amenable number.

205218011745 is a deficient number, since it is larger than the sum of its proper divisors (151192091655).

205218011745 is a wasteful number, since it uses less digits than its factorization.

205218011745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8960049 (or 8960046 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 205218011745 in words is "two hundred five billion, two hundred eighteen million, eleven thousand, seven hundred forty-five".