211166901841 has 9 divisors (see below), whose sum is σ = 245646872649. Its totient is φ = 180997444404.

The previous prime is 211166901823. The next prime is 211166901857. The reversal of 211166901841 is 148109661112.

The square root of 211166901841 is 459529.

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

It is not a de Polignac number, because 211166901841 - 2²¹ = 211164804689 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211166901794 and 211166901803.

It is not an unprimeable number, because it can be changed into a prime (211166901811) 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, 3183880 + ... + 3249526.

It is an arithmetic number, because the mean of its divisors is an integer number (27294096961).

Almost surely, 2^211166901841 is an apocalyptic number.

211166901841 is the 459529-th square number.

211166901841 is the 229765-th centered octagonal number.

It is an amenable number.

211166901841 is a deficient number, since it is larger than the sum of its proper divisors (34479970808).

211166901841 is an frugal number, since it uses more digits than its factorization.

211166901841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131308 (or 65654 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 40.

The spelling of 211166901841 in words is "two hundred eleven billion, one hundred sixty-six million, nine hundred one thousand, eight hundred forty-one".