233021690442304 has 189 divisors, whose sum is σ = 496309274911723. Its totient is φ = 108528873742336.

The previous prime is 233021690442293. The next prime is 233021690442349. The reversal of 233021690442304 is 403244096120332.

The square root of 233021690442304 is 15265048.

It is a perfect power (a square), and thus also a powerful number.

233021690442304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 113120241640000 + 119901448802304 = 10635800^2 + 10949952^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 222136977972 + ... + 222136979020.

Almost surely, 2^{233021690442304} is an apocalyptic number.

233021690442304 is the 15265048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233021690442304

233021690442304 is an abundant number, since it is smaller than the sum of its proper divisors (263287584469419).

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

233021690442304 is an frugal number, since it uses more digits than its factorization.

233021690442304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2358 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 43.

The spelling of 233021690442304 in words is "two hundred thirty-three trillion, twenty-one billion, six hundred ninety million, four hundred forty-two thousand, three hundred four".