312433444134 has 96 divisors (see below), whose sum is σ = 802611403776. Its totient is φ = 89231855040.

The previous prime is 312433444133. The next prime is 312433444151. The reversal of 312433444134 is 431444334213.

312433444134 is a `hidden beast` number, since 3 + 1 + 243 + 344 + 41 + 34 = 666.

It is a super-2 number, since 2×312433444134² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312433444133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9430819 + ... + 9463889.

It is an arithmetic number, because the mean of its divisors is an integer number (8360535456).

Almost surely, 2^312433444134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312433444134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401305701888).

312433444134 is an abundant number, since it is smaller than the sum of its proper divisors (490177959642).

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

312433444134 is a wasteful number, since it uses less digits than its factorization.

312433444134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35872 (or 35860 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

Adding to 312433444134 its reverse (431444334213), we get a palindrome (743877778347).

The spelling of 312433444134 in words is "three hundred twelve billion, four hundred thirty-three million, four hundred forty-four thousand, one hundred thirty-four".