233198993280 has 256 divisors, whose sum is σ = 858597615360. Its totient is φ = 53207531520.

The previous prime is 233198993267. The next prime is 233198993299. The reversal of 233198993280 is 82399891332.

It is a self number, because there is not a number n which added to its sum of digits gives 233198993280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34287 + ... + 683793.

It is an arithmetic number, because the mean of its divisors is an integer number (3353896935).

Almost surely, 2^233198993280 is an apocalyptic number.

233198993280 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 233198993280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429298807680).

233198993280 is an abundant number, since it is smaller than the sum of its proper divisors (625398622080).

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

233198993280 is a wasteful number, since it uses less digits than its factorization.

233198993280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649557 (or 649545 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 57.

The spelling of 233198993280 in words is "two hundred thirty-three billion, one hundred ninety-eight million, nine hundred ninety-three thousand, two hundred eighty".