233283325440000 has 4160 divisors, whose sum is σ = 955092512563200. Its totient is φ = 49958092800000.

The previous prime is 233283325439993. The next prime is 233283325440001. The reversal of 233283325440000 is 44523382332.

It is a super-2 number, since 2×233283325440000² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (233283325440001) by changing a digit.

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 319 ways as a sum of consecutive naturals, for example, 2621160959956 + ... + 2621160960044.

Almost surely, 2^{233283325440000} is an apocalyptic number.

233283325440000 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 233283325440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477546256281600).

233283325440000 is an abundant number, since it is smaller than the sum of its proper divisors (721809187123200).

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

233283325440000 is a wasteful number, since it uses less digits than its factorization.

233283325440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 39.

The spelling of 233283325440000 in words is "two hundred thirty-three trillion, two hundred eighty-three billion, three hundred twenty-five million, four hundred forty thousand".