200792329154641 has 27 divisors (see below), whose sum is σ = 234210514361499. Its totient is φ = 171640521814608.

The previous prime is 200792329154563. The next prime is 200792329154693. The reversal of 200792329154641 is 146451923297002.

The square root of 200792329154641 is 14170121.

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., 134565220050625 + 66227109104016 = 11600225^2 + 8138004^2 .

It is not a de Polignac number, because 200792329154641 - 2²¹ = 200792327057489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (200792329154941) 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, 39378763710 + ... + 39378768808.

Almost surely, 2^{200792329154641} is an apocalyptic number.

200792329154641 is the 14170121-st square number.

200792329154641 is the 7085061-st centered octagonal number.

It is an amenable number.

200792329154641 is a deficient number, since it is larger than the sum of its proper divisors (33418185206858).

200792329154641 is an frugal number, since it uses more digits than its factorization.

200792329154641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11006 (or 5503 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 55.

The spelling of 200792329154641 in words is "two hundred trillion, seven hundred ninety-two billion, three hundred twenty-nine million, one hundred fifty-four thousand, six hundred forty-one".