233800049280 has 256 divisors, whose sum is σ = 852549292800. Its totient is φ = 53386739712.

The previous prime is 233800049243. The next prime is 233800049299. The reversal of 233800049280 is 82940008332.

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 31 ways as a sum of consecutive naturals, for example, 14359224 + ... + 14375496.

It is an arithmetic number, because the mean of its divisors is an integer number (3330270675).

Almost surely, 2^233800049280 is an apocalyptic number.

233800049280 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 233800049280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426274646400).

233800049280 is an abundant number, since it is smaller than the sum of its proper divisors (618749243520).

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

233800049280 is a wasteful number, since it uses less digits than its factorization.

233800049280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17371 (or 17359 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 233800049280 in words is "two hundred thirty-three billion, eight hundred million, forty-nine thousand, two hundred eighty".