233330673889664 has 128 divisors (see below), whose sum is σ = 512287367568480. Its totient is φ = 105193705144320.

The previous prime is 233330673889657. The next prime is 233330673889667. The reversal of 233330673889664 is 466988376033332.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233330673889667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14192024 + ... + 25847144.

Almost surely, 2^{233330673889664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233330673889664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256143683784240).

233330673889664 is an abundant number, since it is smaller than the sum of its proper divisors (278956693678816).

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

233330673889664 is a wasteful number, since it uses less digits than its factorization.

233330673889664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11655428 (or 11655416 counting only the distinct ones).

The product of its (nonzero) digits is 1693052928, while the sum is 71.

The spelling of 233330673889664 in words is "two hundred thirty-three trillion, three hundred thirty billion, six hundred seventy-three million, eight hundred eighty-nine thousand, six hundred sixty-four".