233445420000 has 720 divisors, whose sum is σ = 907315128720. Its totient is φ = 56567808000.

The previous prime is 233445419957. The next prime is 233445420023. The reversal of 233445420000 is 24544332.

233445420000 is a `hidden beast` number, since 2 + 3 + 3 + 4 + 454 + 200 + 0 + 0 = 666.

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

It is a congruent number.

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, 156779256 + ... + 156780744.

It is an arithmetic number, because the mean of its divisors is an integer number (1260159901).

Almost surely, 2^233445420000 is an apocalyptic number.

233445420000 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 233445420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453657564360).

233445420000 is an abundant number, since it is smaller than the sum of its proper divisors (673869708720).

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

233445420000 is a wasteful number, since it uses less digits than its factorization.

233445420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 233445420000 its reverse (24544332), we get a palindrome (233469964332).

The spelling of 233445420000 in words is "two hundred thirty-three billion, four hundred forty-five million, four hundred twenty thousand".