234214000024032 has 288 divisors, whose sum is σ = 796351921956864. Its totient is φ = 63897064704000.

The previous prime is 234214000024031. The next prime is 234214000024097. The reversal of 234214000024032 is 230420000412432.

234214000024032 is a `hidden beast` number, since 234 + 2 + 1 + 400 + 0 + 0 + 24 + 0 + 3 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 234214000023987 and 234214000024005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234214000024031) 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, 26259844 + ... + 34029507.

It is an arithmetic number, because the mean of its divisors is an integer number (2765110840128).

Almost surely, 2^{234214000024032} is an apocalyptic number.

It is an amenable number.

234214000024032 is an abundant number, since it is smaller than the sum of its proper divisors (562137921932832).

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

234214000024032 is a wasteful number, since it uses less digits than its factorization.

234214000024032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60289462 (or 60289451 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 234214000024032 its reverse (230420000412432), we get a palindrome (464634000436464).

The spelling of 234214000024032 in words is "two hundred thirty-four trillion, two hundred fourteen billion, twenty-four thousand, thirty-two".