211666105152 has 70 divisors (see below), whose sum is σ = 627444660018. Its totient is φ = 70555366656.

The previous prime is 211666105139. The next prime is 211666105159. The reversal of 211666105152 is 251501666112.

It can be written as a sum of positive squares in only one way, i.e., 116570347776 + 95095757376 = 341424^2 + 308376^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211666105159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20410143 + ... + 20420510.

Almost surely, 2^211666105152 is an apocalyptic number.

It is an amenable number.

211666105152 is an abundant number, since it is smaller than the sum of its proper divisors (415778554866).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211666105152 is an equidigital number, since it uses as much as digits as its factorization.

211666105152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40830677 (or 40830658 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 211666105152 in words is "two hundred eleven billion, six hundred sixty-six million, one hundred five thousand, one hundred fifty-two".