112435534211 has 108 divisors (see below), whose sum is σ = 157336948152. Its totient is φ = 80071992000.

The previous prime is 112435534193. The next prime is 112435534213.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

112435534211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 112435534211 - 2²⁶ = 112368425347 is a prime.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112435534213) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1113223061 + ... + 1113223161.

It is an arithmetic number, because the mean of its divisors is an integer number (1456823594).

Almost surely, 2^112435534211 is an apocalyptic number.

112435534211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112435534211 is a deficient number, since it is larger than the sum of its proper divisors (44901413941).

112435534211 is an equidigital number, since it uses as much as digits as its factorization.

112435534211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 132 counting only the distinct ones).

The product of its digits is 14400, while the sum is 32.

It can be divided in two parts, 112435 and 534211, that added together give a palindrome (646646).

The spelling of 112435534211 in words is "one hundred twelve billion, four hundred thirty-five million, five hundred thirty-four thousand, two hundred eleven".