233323000020000 has 720 divisors, whose sum is σ = 904682476938240. Its totient is φ = 56551737600000.

The previous prime is 233323000019927. The next prime is 233323000020013. The reversal of 233323000020000 is 20000323332.

233323000020000 is a `hidden beast` number, since 233 + 3 + 230 + 0 + 0 + 0 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13937211630 + ... + 13937228370.

It is an arithmetic number, because the mean of its divisors is an integer number (1256503440192).

Almost surely, 2^{233323000020000} is an apocalyptic number.

233323000020000 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 233323000020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452341238469120).

233323000020000 is an abundant number, since it is smaller than the sum of its proper divisors (671359476918240).

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

233323000020000 is a wasteful number, since it uses less digits than its factorization.

233323000020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23827 (or 23801 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 233323000020000 its reverse (20000323332), we get a palindrome (233343000343332).

The spelling of 233323000020000 in words is "two hundred thirty-three trillion, three hundred twenty-three billion, twenty thousand".