233213033332032 has 224 divisors, whose sum is σ = 670831235424000. Its totient is φ = 71077678252032.

The previous prime is 233213033332001. The next prime is 233213033332061. The reversal of 233213033332032 is 230233330312332.

It is a junction number, because it is equal to n+sod(n) for n = 233213033331984 and 233213033332002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132640168 + ... + 134386904.

It is an arithmetic number, because the mean of its divisors is an integer number (2994782301000).

Almost surely, 2^{233213033332032} 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 233213033332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335415617712000).

233213033332032 is an abundant number, since it is smaller than the sum of its proper divisors (437618202091968).

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

233213033332032 is a wasteful number, since it uses less digits than its factorization.

233213033332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747273 (or 1747263 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 33.

Adding to 233213033332032 its reverse (230233330312332), we get a palindrome (463446363644364).

The spelling of 233213033332032 in words is "two hundred thirty-three trillion, two hundred thirteen billion, thirty-three million, three hundred thirty-two thousand, thirty-two".