233145313434252 has 120 divisors (see below), whose sum is σ = 624673876226400. Its totient is φ = 75780703906560.

The previous prime is 233145313434251. The next prime is 233145313434353. The reversal of 233145313434252 is 252434313541332.

233145313434252 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 4 + 53 + 1 + 343 + 4 + 252 = 666.

233145313434252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×233145313434252² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 233145313434198 and 233145313434207.

It is not an unprimeable number, because it can be changed into a prime (233145313434251) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21387993 + ... + 30393039.

It is an arithmetic number, because the mean of its divisors is an integer number (5205615635220).

Almost surely, 2^{233145313434252} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233145313434252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312336938113200).

233145313434252 is an abundant number, since it is smaller than the sum of its proper divisors (391528562792148).

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

233145313434252 is a wasteful number, since it uses less digits than its factorization.

233145313434252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9007053 (or 9007042 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 45.

Adding to 233145313434252 its reverse (252434313541332), we get a palindrome (485579626975584).

The spelling of 233145313434252 in words is "two hundred thirty-three trillion, one hundred forty-five billion, three hundred thirteen million, four hundred thirty-four thousand, two hundred fifty-two".