233826667872 has 384 divisors, whose sum is σ = 743921418240. Its totient is φ = 62869340160.

The previous prime is 233826667817. The next prime is 233826667891. The reversal of 233826667872 is 278766628332.

233826667872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 304065504 + ... + 304066272.

It is an arithmetic number, because the mean of its divisors is an integer number (1937295360).

Almost surely, 2^233826667872 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 233826667872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371960709120).

233826667872 is an abundant number, since it is smaller than the sum of its proper divisors (510094750368).

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

233826667872 is a wasteful number, since it uses less digits than its factorization.

233826667872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1098 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 60.

The spelling of 233826667872 in words is "two hundred thirty-three billion, eight hundred twenty-six million, six hundred sixty-seven thousand, eight hundred seventy-two".