233199672000 has 224 divisors, whose sum is σ = 796580291520. Its totient is φ = 60042035200.

The previous prime is 233199671987. The next prime is 233199672007. The reversal of 233199672000 is 276991332.

It is a super-3 number, since 3×233199672000³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (233199672007) by changing a digit.

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, 528472 + ... + 863528.

Almost surely, 2^233199672000 is an apocalyptic number.

233199672000 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 233199672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398290145760).

233199672000 is an abundant number, since it is smaller than the sum of its proper divisors (563380619520).

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

233199672000 is a wasteful number, since it uses less digits than its factorization.

233199672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335116 (or 335096 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 42.

The spelling of 233199672000 in words is "two hundred thirty-three billion, one hundred ninety-nine million, six hundred seventy-two thousand".