211363363112 has 64 divisors (see below), whose sum is σ = 436573488960. Its totient is φ = 95136640000.

The previous prime is 211363363109. The next prime is 211363363117.

211363363112 is nontrivially palindromic in base 10.

211363363112 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (211363363117) 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 15 ways as a sum of consecutive naturals, for example, 3793568 + ... + 3848880.

It is an arithmetic number, because the mean of its divisors is an integer number (6821460765).

Almost surely, 2^211363363112 is an apocalyptic number.

211363363112 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 211363363112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218286744480).

211363363112 is an abundant number, since it is smaller than the sum of its proper divisors (225210125848).

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

211363363112 is a wasteful number, since it uses less digits than its factorization.

211363363112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55754 (or 55750 counting only the distinct ones).

The product of its digits is 11664, while the sum is 32.

It can be divided in two parts, 211363 and 363112, that added together give a palindrome (574475).

The spelling of 211363363112 in words is "two hundred eleven billion, three hundred sixty-three million, three hundred sixty-three thousand, one hundred twelve".