200181212428681 has 27 divisors (see below), whose sum is σ = 226147988093223. Its totient is φ = 177059369607120.

The previous prime is 200181212428591. The next prime is 200181212428697. The reversal of 200181212428681 is 186824212181002.

The square root of 200181212428681 is 14148541.

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., 179124897900025 + 21056314528656 = 13383755^2 + 4588716^2 .

It is a de Polignac number, because none of the positive numbers 2^k-200181212428681 is a prime.

It is a super-2 number, since 2×200181212428681² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (200181212428181) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5758438806 + ... + 5758473568.

Almost surely, 2^{200181212428681} is an apocalyptic number.

200181212428681 is the 14148541-st square number.

200181212428681 is the 7074271-st centered octagonal number.

It is an amenable number.

200181212428681 is a deficient number, since it is larger than the sum of its proper divisors (25966775664542).

200181212428681 is an frugal number, since it uses more digits than its factorization.

200181212428681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69622 (or 34811 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 46.

The spelling of 200181212428681 in words is "two hundred trillion, one hundred eighty-one billion, two hundred twelve million, four hundred twenty-eight thousand, six hundred eighty-one".