233421991132032 has 256 divisors, whose sum is σ = 690225399360000. Its totient is φ = 77659852308480.

The previous prime is 233421991132007. The next prime is 233421991132039. The reversal of 233421991132032 is 230231199124332.

233421991132032 is a `hidden beast` number, since 2 + 3 + 3 + 421 + 9 + 9 + 1 + 13 + 203 + 2 = 666.

233421991132032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233421991132039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11764618432 + ... + 11764638272.

It is an arithmetic number, because the mean of its divisors is an integer number (2696192966250).

Almost surely, 2^{233421991132032} 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 233421991132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345112699680000).

233421991132032 is an abundant number, since it is smaller than the sum of its proper divisors (456803408227968).

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

233421991132032 is a wasteful number, since it uses less digits than its factorization.

233421991132032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26146 (or 26128 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 233421991132032 in words is "two hundred thirty-three trillion, four hundred twenty-one billion, nine hundred ninety-one million, one hundred thirty-two thousand, thirty-two".