234024134112 has 288 divisors, whose sum is σ = 744482793600. Its totient is φ = 69377409024.

The previous prime is 234024134081. The next prime is 234024134131. The reversal of 234024134112 is 211431420432.

234024134112 is a `hidden beast` number, since 2 + 3 + 4 + 0 + 241 + 3 + 411 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6655714 + ... + 6690782.

It is an arithmetic number, because the mean of its divisors is an integer number (2585009700).

Almost surely, 2^234024134112 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 234024134112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372241396800).

234024134112 is an abundant number, since it is smaller than the sum of its proper divisors (510458659488).

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

234024134112 is a wasteful number, since it uses less digits than its factorization.

234024134112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35178 (or 35167 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 234024134112 its reverse (211431420432), we get a palindrome (445455554544).

It can be divided in two parts, 23402 and 4134112, that added together give a palindrome (4157514).

The spelling of 234024134112 in words is "two hundred thirty-four billion, twenty-four million, one hundred thirty-four thousand, one hundred twelve".