233272800000 has 648 divisors, whose sum is σ = 850042000080. Its totient is φ = 61516800000.

The previous prime is 233272799999. The next prime is 233272800001. The reversal of 233272800000 is 8272332.

It is an interprime number because it is at equal distance from previous prime (233272799999) and next prime (233272800001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233272800001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1288799910 + ... + 1288800090.

It is an arithmetic number, because the mean of its divisors is an integer number (1311793210).

Almost surely, 2^233272800000 is an apocalyptic number.

233272800000 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 233272800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425021000040).

233272800000 is an abundant number, since it is smaller than the sum of its proper divisors (616769200080).

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

233272800000 is an equidigital number, since it uses as much as digits as its factorization.

233272800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 233272800000 in words is "two hundred thirty-three billion, two hundred seventy-two million, eight hundred thousand".