233013321132192 has 192 divisors, whose sum is σ = 685026076815360. Its totient is φ = 77053613478912.

The previous prime is 233013321132181. The next prime is 233013321132239. The reversal of 233013321132192 is 291231123310332.

233013321132192 is a `hidden beast` number, since 2 + 3 + 3 + 0 + 1 + 3 + 321 + 1 + 321 + 9 + 2 = 666.

233013321132192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1568268018 + ... + 1568416590.

It is an arithmetic number, because the mean of its divisors is an integer number (3567844150080).

Almost surely, 2^{233013321132192} 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 233013321132192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342513038407680).

233013321132192 is an abundant number, since it is smaller than the sum of its proper divisors (452012755683168).

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

233013321132192 is a wasteful number, since it uses less digits than its factorization.

233013321132192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163012 (or 162998 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 233013321132192 in words is "two hundred thirty-three trillion, thirteen billion, three hundred twenty-one million, one hundred thirty-two thousand, one hundred ninety-two".