211689986112 has 224 divisors, whose sum is σ = 697255847040. Its totient is φ = 62414530560.

The previous prime is 211689986111. The next prime is 211689986141.

211689986112 is a `hidden beast` number, since 2 + 1 + 16 + 8 + 9 + 9 + 8 + 611 + 2 = 666.

211689986112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (211689986111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 552798 + ... + 853794.

Almost surely, 2^211689986112 is an apocalyptic number.

211689986112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211689986112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348627923520).

211689986112 is an abundant number, since it is smaller than the sum of its proper divisors (485565860928).

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

211689986112 is a wasteful number, since it uses less digits than its factorization.

211689986112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301066 (or 301050 counting only the distinct ones).

The product of its digits is 746496, while the sum is 54.

The spelling of 211689986112 in words is "two hundred eleven billion, six hundred eighty-nine million, nine hundred eighty-six thousand, one hundred twelve".