200364559641 has 27 divisors (see below), whose sum is σ = 305488474239. Its totient is φ = 126529923312.

The previous prime is 200364559631. The next prime is 200364559697. The reversal of 200364559641 is 146955463002.

The square root of 200364559641 is 447621.

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

200364559641 is a `hidden beast` number, since 2 + 0 + 0 + 36 + 4 + 559 + 64 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4112015625 + 196252544016 = 64125^2 + 443004^2 .

It is not a de Polignac number, because 200364559641 - 2¹¹ = 200364557593 is a prime.

It is a super-3 number, since 3×200364559641³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (200364559631) 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, 25510471 + ... + 25518323.

Almost surely, 2^200364559641 is an apocalyptic number.

200364559641 is the 447621-st square number.

200364559641 is the 223811-st centered octagonal number.

It is an amenable number.

200364559641 is a deficient number, since it is larger than the sum of its proper divisors (105123914598).

200364559641 is an frugal number, since it uses more digits than its factorization.

200364559641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15750 (or 7875 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 200364559641 in words is "two hundred billion, three hundred sixty-four million, five hundred fifty-nine thousand, six hundred forty-one".