187141894801 has 9 divisors (see below), whose sum is σ = 198805603899. Its totient is φ = 176126626464.

The previous prime is 187141894777. The next prime is 187141894867. The reversal of 187141894801 is 108498141781.

The square root of 187141894801 is 432599.

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., 145698707025 + 41443187776 = 381705^2 + 203576^2 .

It is not a de Polignac number, because 187141894801 - 2⁷ = 187141894673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (187141897801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7341460 + ... + 7366906.

Almost surely, 2^187141894801 is an apocalyptic number.

187141894801 is the 432599-th square number.

187141894801 is the 216300-th centered octagonal number.

It is an amenable number.

187141894801 is a deficient number, since it is larger than the sum of its proper divisors (11663709098).

187141894801 is an frugal number, since it uses more digits than its factorization.

187141894801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50928 (or 25464 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 52.

The spelling of 187141894801 in words is "one hundred eighty-seven billion, one hundred forty-one million, eight hundred ninety-four thousand, eight hundred one".