235034810210816 has 320 divisors, whose sum is σ = 589235555082240. Its totient is φ = 90987652546560.

The previous prime is 235034810210813. The next prime is 235034810210843. The reversal of 235034810210816 is 618012018430532.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (235034810210813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4305980261 + ... + 4306034843.

It is an arithmetic number, because the mean of its divisors is an integer number (1841361109632).

Almost surely, 2^{235034810210816} 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 235034810210816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294617777541120).

235034810210816 is an abundant number, since it is smaller than the sum of its proper divisors (354200744871424).

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

235034810210816 is a wasteful number, since it uses less digits than its factorization.

235034810210816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55315 (or 55299 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The spelling of 235034810210816 in words is "two hundred thirty-five trillion, thirty-four billion, eight hundred ten million, two hundred ten thousand, eight hundred sixteen".