233328281468984 has 256 divisors, whose sum is σ = 501005656166400. Its totient is φ = 101091458764800.

The previous prime is 233328281468977. The next prime is 233328281468987. The reversal of 233328281468984 is 489864182823332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233328281468987) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111693767012 + ... + 111693769100.

It is an arithmetic number, because the mean of its divisors is an integer number (1957053344400).

Almost surely, 2^{233328281468984} 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 233328281468984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250502828083200).

233328281468984 is an abundant number, since it is smaller than the sum of its proper divisors (267677374697416).

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

233328281468984 is a wasteful number, since it uses less digits than its factorization.

233328281468984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4574 (or 4570 counting only the distinct ones).

The product of its digits is 764411904, while the sum is 71.

The spelling of 233328281468984 in words is "two hundred thirty-three trillion, three hundred twenty-eight billion, two hundred eighty-one million, four hundred sixty-eight thousand, nine hundred eighty-four".