233145216000 has 880 divisors, whose sum is σ = 880973121600. Its totient is φ = 61312204800.

The previous prime is 233145215987. The next prime is 233145216001. The reversal of 233145216000 is 612541332.

233145216000 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 4 + 52 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (233145216001) 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 79 ways as a sum of consecutive naturals, for example, 1171583901 + ... + 1171584099.

It is an arithmetic number, because the mean of its divisors is an integer number (1001105820).

Almost surely, 2^233145216000 is an apocalyptic number.

233145216000 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 233145216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440486560800).

233145216000 is an abundant number, since it is smaller than the sum of its proper divisors (647827905600).

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

233145216000 is a wasteful number, since it uses less digits than its factorization.

233145216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 233145216000 its reverse (612541332), we get a palindrome (233757757332).

The spelling of 233145216000 in words is "two hundred thirty-three billion, one hundred forty-five million, two hundred sixteen thousand".