235816512096768 has 320 divisors, whose sum is σ = 668570538746880. Its totient is φ = 73605474680832.

The previous prime is 235816512096721. The next prime is 235816512096793. The reversal of 235816512096768 is 867690215618532.

235816512096768 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 10417292746 + ... + 10417315382.

It is an arithmetic number, because the mean of its divisors is an integer number (2089282933584).

Almost surely, 2^{235816512096768} 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 235816512096768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334285269373440).

235816512096768 is an abundant number, since it is smaller than the sum of its proper divisors (432754026650112).

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

235816512096768 is a wasteful number, since it uses less digits than its factorization.

235816512096768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24687 (or 24671 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 69.

The spelling of 235816512096768 in words is "two hundred thirty-five trillion, eight hundred sixteen billion, five hundred twelve million, ninety-six thousand, seven hundred sixty-eight".