234205231323320 has 128 divisors (see below), whose sum is σ = 555365979417600. Its totient is φ = 88644377203200.

The previous prime is 234205231323269. The next prime is 234205231323331. The reversal of 234205231323320 is 23323132502432.

It is a super-3 number, since 3×234205231323320³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12006205007 + ... + 12006224513.

It is an arithmetic number, because the mean of its divisors is an integer number (4338796714200).

Almost surely, 2^{234205231323320} is an apocalyptic number.

234205231323320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234205231323320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277682989708800).

234205231323320 is an abundant number, since it is smaller than the sum of its proper divisors (321160748094280).

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

234205231323320 is a wasteful number, since it uses less digits than its factorization.

234205231323320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37789 (or 37785 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 35.

Adding to 234205231323320 its reverse (23323132502432), we get a palindrome (257528363825752).

The spelling of 234205231323320 in words is "two hundred thirty-four trillion, two hundred five billion, two hundred thirty-one million, three hundred twenty-three thousand, three hundred twenty".