187211117041 has 27 divisors (see below), whose sum is σ = 205704538977. Its totient is φ = 170302454400.

The previous prime is 187211117017. The next prime is 187211117047. The reversal of 187211117041 is 140711112781.

It is a happy number.

The square root of 187211117041 is 432679.

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 15811805025 + 171399312016 = 125745^2 + 414004^2 .

It is not a de Polignac number, because 187211117041 - 2⁷ = 187211116913 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 187211116988 and 187211117006.

It is not an unprimeable number, because it can be changed into a prime (187211117047) 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, 466860441 + ... + 466860841.

Almost surely, 2^187211117041 is an apocalyptic number.

187211117041 is the 432679-th square number.

187211117041 is the 216340-th centered octagonal number.

It is an amenable number.

187211117041 is a deficient number, since it is larger than the sum of its proper divisors (18493421936).

187211117041 is an frugal number, since it uses more digits than its factorization.

187211117041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 34.

Multiplying 187211117041 by its product of nonzero digits (3136), we get a square (587094063040576 = 24230024²).

The spelling of 187211117041 in words is "one hundred eighty-seven billion, two hundred eleven million, one hundred seventeen thousand, forty-one".