188101761849 has 9 divisors (see below), whose sum is σ = 271704424303. Its totient is φ = 125400307152.

The previous prime is 188101761817. The next prime is 188101761853. The reversal of 188101761849 is 948167101881.

The square root of 188101761849 is 433707.

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

188101761849 is a `hidden beast` number, since 1 + 8 + 8 + 1 + 0 + 17 + 618 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 187223232249 + 878529600 = 432693^2 + 29640^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 188101761849 - 2⁵ = 188101761817 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 188101761795 and 188101761804.

It is not an unprimeable number, because it can be changed into a prime (188101761899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1228837 + ... + 1373405.

Almost surely, 2^188101761849 is an apocalyptic number.

188101761849 is the 433707-th square number.

188101761849 is the 216854-th centered octagonal number.

It is an amenable number.

188101761849 is a deficient number, since it is larger than the sum of its proper divisors (83602662454).

188101761849 is an frugal number, since it uses more digits than its factorization.

188101761849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289144 (or 144572 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 54.

The spelling of 188101761849 in words is "one hundred eighty-eight billion, one hundred one million, seven hundred sixty-one thousand, eight hundred forty-nine".