233390441091000 has 256 divisors, whose sum is σ = 729944756835840. Its totient is φ = 62086630502400.

The previous prime is 233390441090971. The next prime is 233390441091001. The reversal of 233390441091000 is 190144093332.

233390441091000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 233390441091000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233390441091001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2243374984 + ... + 2243479016.

It is an arithmetic number, because the mean of its divisors is an integer number (2851346706390).

Almost surely, 2^{233390441091000} is an apocalyptic number.

233390441091000 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 233390441091000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364972378417920).

233390441091000 is an abundant number, since it is smaller than the sum of its proper divisors (496554315744840).

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

233390441091000 is a wasteful number, since it uses less digits than its factorization.

233390441091000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105863 (or 105849 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The spelling of 233390441091000 in words is "two hundred thirty-three trillion, three hundred ninety billion, four hundred forty-one million, ninety-one thousand".