233041356405 has 192 divisors, whose sum is σ = 484348999680. Its totient is φ = 102160742400.

The previous prime is 233041356397. The next prime is 233041356409. The reversal of 233041356405 is 504653140332.

233041356405 is a `hidden beast` number, since 2 + 3 + 3 + 0 + 4 + 1 + 3 + 5 + 640 + 5 = 666.

233041356405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 233041356405 - 2³ = 233041356397 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 233041356405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233041356409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 105590812 + ... + 105593018.

It is an arithmetic number, because the mean of its divisors is an integer number (2522651040).

Almost surely, 2^233041356405 is an apocalyptic number.

It is an amenable number.

233041356405 is an abundant number, since it is smaller than the sum of its proper divisors (251307643275).

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

233041356405 is a wasteful number, since it uses less digits than its factorization.

233041356405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 233041356405 its reverse (504653140332), we get a palindrome (737694496737).

The spelling of 233041356405 in words is "two hundred thirty-three billion, forty-one million, three hundred fifty-six thousand, four hundred five".