233839872000 has 1344 divisors, whose sum is σ = 1005451574400. Its totient is φ = 53150515200.

The previous prime is 233839871989. The next prime is 233839872001. The reversal of 233839872000 is 278938332.

It is a happy number.

233839872000 is a `hidden beast` number, since 2 + 338 + 39 + 87 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (233839872001) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1306367911 + ... + 1306368089.

It is an arithmetic number, because the mean of its divisors is an integer number (748103850).

Almost surely, 2^233839872000 is an apocalyptic number.

233839872000 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 233839872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502725787200).

233839872000 is an abundant number, since it is smaller than the sum of its proper divisors (771611702400).

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

233839872000 is an frugal number, since it uses more digits than its factorization.

233839872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 233839872000 in words is "two hundred thirty-three billion, eight hundred thirty-nine million, eight hundred seventy-two thousand".