233205352352500 has 480 divisors, whose sum is σ = 579433673871360. Its totient is φ = 81365793600000.

The previous prime is 233205352352459. The next prime is 233205352352507. The reversal of 233205352352500 is 5253253502332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233205352352507) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 16426375402 + ... + 16426389598.

It is an arithmetic number, because the mean of its divisors is an integer number (1207153487232).

Almost surely, 2^{233205352352500} is an apocalyptic number.

233205352352500 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 233205352352500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289716836935680).

233205352352500 is an abundant number, since it is smaller than the sum of its proper divisors (346228321518860).

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

233205352352500 is a wasteful number, since it uses less digits than its factorization.

233205352352500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14529 (or 14512 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 40.

The spelling of 233205352352500 in words is "two hundred thirty-three trillion, two hundred five billion, three hundred fifty-two million, three hundred fifty-two thousand, five hundred".