233109078544096 has 192 divisors, whose sum is σ = 496410631411968. Its totient is φ = 107343519981568.

The previous prime is 233109078544031. The next prime is 233109078544123. The reversal of 233109078544096 is 690445870901332.

It is a happy number.

It is a congruent number.

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, 39895440951 + ... + 39895446793.

It is an arithmetic number, because the mean of its divisors is an integer number (2585472038604).

It is a 1-persistent number, because it is pandigital, but 2⋅233109078544096 = 466218157088192 is not.

Almost surely, 2^{233109078544096} 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 233109078544096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248205315705984).

233109078544096 is an abundant number, since it is smaller than the sum of its proper divisors (263301552867872).

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

233109078544096 is a wasteful number, since it uses less digits than its factorization.

233109078544096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9353 (or 9345 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 61.

The spelling of 233109078544096 in words is "two hundred thirty-three trillion, one hundred nine billion, seventy-eight million, five hundred forty-four thousand, ninety-six".