233328082944 has 252 divisors, whose sum is σ = 685030179848. Its totient is φ = 70590136320.

The previous prime is 233328082931. The next prime is 233328082969. The reversal of 233328082944 is 449280823332.

It is a happy number.

233328082944 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 233328082893 and 233328082902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 380632782 + ... + 380633394.

Almost surely, 2^233328082944 is an apocalyptic number.

233328082944 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 233328082944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342515089924).

233328082944 is an abundant number, since it is smaller than the sum of its proper divisors (451702096904).

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

233328082944 is an frugal number, since it uses more digits than its factorization.

233328082944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The spelling of 233328082944 in words is "two hundred thirty-three billion, three hundred twenty-eight million, eighty-two thousand, nine hundred forty-four".