188204897250841 has 27 divisors (see below), whose sum is σ = 211008257810301. Its totient is φ = 167807226726144.

The previous prime is 188204897250817. The next prime is 188204897250889. The reversal of 188204897250841 is 148052798402881.

The square root of 188204897250841 is 13718779.

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

It can be written as a sum of positive squares in 4 ways, for example, as 875308065241 + 187329589185600 = 935579^2 + 13686840^2 .

It is a de Polignac number, because none of the positive numbers 2^k-188204897250841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (188204897250341) 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, 4431144381 + ... + 4431186853.

Almost surely, 2^{188204897250841} is an apocalyptic number.

188204897250841 is the 13718779-th square number.

188204897250841 is the 6859390-th centered octagonal number.

It is an amenable number.

188204897250841 is a deficient number, since it is larger than the sum of its proper divisors (22803360559460).

188204897250841 is an frugal number, since it uses more digits than its factorization.

188204897250841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85018 (or 42509 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 67.

The spelling of 188204897250841 in words is "one hundred eighty-eight trillion, two hundred four billion, eight hundred ninety-seven million, two hundred fifty thousand, eight hundred forty-one".