233434230024320 has 384 divisors, whose sum is σ = 609395412700800. Its totient is φ = 85464356290560.

The previous prime is 233434230024293. The next prime is 233434230024409. The reversal of 233434230024320 is 23420032434332.

It is a happy 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, 7739590040 + ... + 7739620200.

It is an arithmetic number, because the mean of its divisors is an integer number (1586967220575).

Almost surely, 2^{233434230024320} is an apocalyptic number.

233434230024320 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 233434230024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304697706350400).

233434230024320 is an abundant number, since it is smaller than the sum of its proper divisors (375961182676480).

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

233434230024320 is a wasteful number, since it uses less digits than its factorization.

233434230024320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30808 (or 30783 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 35.

Adding to 233434230024320 its reverse (23420032434332), we get a palindrome (256854262458652).

The spelling of 233434230024320 in words is "two hundred thirty-three trillion, four hundred thirty-four billion, two hundred thirty million, twenty-four thousand, three hundred twenty".