234609242112 has 624 divisors, whose sum is σ = 824604352000. Its totient is φ = 62777327616.

The previous prime is 234609242111. The next prime is 234609242137. The reversal of 234609242112 is 211242906432.

It is a happy number.

234609242112 is a `hidden beast` number, since 2 + 3 + 4 + 609 + 2 + 42 + 1 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234609242111) 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, 534417189 + ... + 534417627.

Almost surely, 2^234609242112 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 234609242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412302176000).

234609242112 is an abundant number, since it is smaller than the sum of its proper divisors (589995109888).

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

234609242112 is a wasteful number, since it uses less digits than its factorization.

234609242112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 234609242112 in words is "two hundred thirty-four billion, six hundred nine million, two hundred forty-two thousand, one hundred twelve".