21114041112 has 96 divisors (see below), whose sum is σ = 57838369680. Its totient is φ = 6957676800.

The previous prime is 21114041111. The next prime is 21114041153.

21114041112 is a `hidden beast` number, since 211 + 1 + 40 + 411 + 1 + 2 = 666.

21114041112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21114041111) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5793963 + ... + 5797605.

Almost surely, 2^21114041112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21114041112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28919184840).

21114041112 is an abundant number, since it is smaller than the sum of its proper divisors (36724328568).

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

21114041112 is a wasteful number, since it uses less digits than its factorization.

21114041112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4553 (or 4546 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 211140 and 41112, that added together give a palindrome (252252).

The spelling of 21114041112 in words is "twenty-one billion, one hundred fourteen million, forty-one thousand, one hundred twelve".