211446141644112 has 40 divisors (see below), whose sum is σ = 560998997429856. Its totient is φ = 68577127019136.

The previous prime is 211446141644099. The next prime is 211446141644183.

211446141644112 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59528754318 + ... + 59528757869.

Almost surely, 2^{211446141644112} is an apocalyptic number.

It is an amenable number.

211446141644112 is an abundant number, since it is smaller than the sum of its proper divisors (349552855785744).

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

211446141644112 is a wasteful number, since it uses less digits than its factorization.

211446141644112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119057512235 (or 119057512229 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The spelling of 211446141644112 in words is "two hundred eleven trillion, four hundred forty-six billion, one hundred forty-one million, six hundred forty-four thousand, one hundred twelve".