233244676886160 has 320 divisors, whose sum is σ = 741885243091200. Its totient is φ = 60599370940416.

The previous prime is 233244676886149. The next prime is 233244676886213. The reversal of 233244676886160 is 61688676442332.

It is a junction number, because it is equal to n+sod(n) for n = 233244676886091 and 233244676886100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1196833206 + ... + 1197028074.

It is an arithmetic number, because the mean of its divisors is an integer number (2318391384660).

Almost surely, 2^{233244676886160} is an apocalyptic number.

233244676886160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233244676886160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370942621545600).

233244676886160 is an abundant number, since it is smaller than the sum of its proper divisors (508640566205040).

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

233244676886160 is a wasteful number, since it uses less digits than its factorization.

233244676886160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195698 (or 195692 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 66.

The spelling of 233244676886160 in words is "two hundred thirty-three trillion, two hundred forty-four billion, six hundred seventy-six million, eight hundred eighty-six thousand, one hundred sixty".