233255967264 has 288 divisors, whose sum is σ = 723737851200. Its totient is φ = 70979328000.

The previous prime is 233255967251. The next prime is 233255967313. The reversal of 233255967264 is 462769552332.

233255967264 is a `hidden beast` number, since 2 + 3 + 3 + 2 + 559 + 67 + 26 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 233255967264.

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 47 ways as a sum of consecutive naturals, for example, 103622139 + ... + 103624389.

It is an arithmetic number, because the mean of its divisors is an integer number (2512978650).

Almost surely, 2^233255967264 is an apocalyptic number.

233255967264 is a gapful number since it is divisible by the number (24) 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 233255967264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361868925600).

233255967264 is an abundant number, since it is smaller than the sum of its proper divisors (490481883936).

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

233255967264 is a wasteful number, since it uses less digits than its factorization.

233255967264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2968 (or 2957 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 54.

The spelling of 233255967264 in words is "two hundred thirty-three billion, two hundred fifty-five million, nine hundred sixty-seven thousand, two hundred sixty-four".