211473374112 has 576 divisors, whose sum is σ = 809331554304. Its totient is φ = 50584504320.

The previous prime is 211473374051. The next prime is 211473374113.

211473374112 is a `hidden beast` number, since 2 + 1 + 1 + 473 + 3 + 74 + 112 = 666.

211473374112 is nontrivially palindromic in base 10.

211473374112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 (211473374113) 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 95 ways as a sum of consecutive naturals, for example, 238413733 + ... + 238414619.

It is an arithmetic number, because the mean of its divisors is an integer number (1405089504).

Almost surely, 2^211473374112 is an apocalyptic number.

211473374112 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 211473374112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404665777152).

211473374112 is an abundant number, since it is smaller than the sum of its proper divisors (597858180192).

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

211473374112 is a wasteful number, since it uses less digits than its factorization.

211473374112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761 (or 1750 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

It can be divided in two parts, 211473 and 374112, that added together give a palindrome (585585).

The spelling of 211473374112 in words is "two hundred eleven billion, four hundred seventy-three million, three hundred seventy-four thousand, one hundred twelve".