233824220321801 has 8 divisors (see below), whose sum is σ = 234068856116040. Its totient is φ = 233579604786048.

The previous prime is 233824220321771. The next prime is 233824220321869. The reversal of 233824220321801 is 108123022428332.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 86941358335225 + 146882861986576 = 9324235^2 + 12119524^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 233824220321801 - 2⁴² = 229426173810697 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (233824220341801) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18086855 + ... + 28191891.

It is an arithmetic number, because the mean of its divisors is an integer number (29258607014505).

Almost surely, 2^{233824220321801} is an apocalyptic number.

It is an amenable number.

233824220321801 is a deficient number, since it is larger than the sum of its proper divisors (244635794239).

233824220321801 is a wasteful number, since it uses less digits than its factorization.

233824220321801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10129243.

The product of its (nonzero) digits is 221184, while the sum is 41.

The spelling of 233824220321801 in words is "two hundred thirty-three trillion, eight hundred twenty-four billion, two hundred twenty million, three hundred twenty-one thousand, eight hundred one".