233145230042511 has 32 divisors (see below), whose sum is σ = 346055591874240. Its totient is φ = 155135566656000.

The previous prime is 233145230042479. The next prime is 233145230042521. The reversal of 233145230042511 is 115240032541332.

233145230042511 is a `hidden beast` number, since 2 + 3 + 31 + 45 + 2 + 30 + 0 + 42 + 511 = 666.

233145230042511 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 233145230042511 - 2⁵ = 233145230042479 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233145230042521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26552211 + ... + 34224411.

It is an arithmetic number, because the mean of its divisors is an integer number (10814237246070).

Almost surely, 2^{233145230042511} is an apocalyptic number.

233145230042511 is a deficient number, since it is larger than the sum of its proper divisors (112910361831729).

233145230042511 is a wasteful number, since it uses less digits than its factorization.

233145230042511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7674344 (or 7674338 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 233145230042511 its reverse (115240032541332), we get a palindrome (348385262583843).

The spelling of 233145230042511 in words is "two hundred thirty-three trillion, one hundred forty-five billion, two hundred thirty million, forty-two thousand, five hundred eleven".