233204323251042 has 256 divisors, whose sum is σ = 620382860697600. Its totient is φ = 64005986315520.

The previous prime is 233204323251041. The next prime is 233204323251059. The reversal of 233204323251042 is 240152323402332.

233204323251042 is a `hidden beast` number, since 2 + 3 + 3 + 204 + 323 + 25 + 104 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 233204323250988 and 233204323251006.

It is not an unprimeable number, because it can be changed into a prime (233204323251041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 85349923 + ... + 88039865.

It is an arithmetic number, because the mean of its divisors is an integer number (2423370549600).

Almost surely, 2^{233204323251042} is an apocalyptic number.

233204323251042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 233204323251042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310191430348800).

233204323251042 is an abundant number, since it is smaller than the sum of its proper divisors (387178537446558).

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

233204323251042 is a wasteful number, since it uses less digits than its factorization.

233204323251042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690190 (or 2690184 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 233204323251042 its reverse (240152323402332), we get a palindrome (473356646653374).

The spelling of 233204323251042 in words is "two hundred thirty-three trillion, two hundred four billion, three hundred twenty-three million, two hundred fifty-one thousand, forty-two".