233141323141332 has 36 divisors (see below), whose sum is σ = 589815300392500. Its totient is φ = 77649706950912.

The previous prime is 233141323141313. The next prime is 233141323141343.

233141323141332 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 4 + 1 + 3 + 2 + 314 + 1 + 332 = 666.

233141323141332 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 104846827796676 + 128294495344656 = 10239474^2 + 11326716^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2669431957 + ... + 2669519292.

Almost surely, 2^{233141323141332} is an apocalyptic number.

It is an amenable number.

233141323141332 is an abundant number, since it is smaller than the sum of its proper divisors (356673977251168).

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

233141323141332 is a wasteful number, since it uses less digits than its factorization.

233141323141332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5338952472 (or 5338952467 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The spelling of 233141323141332 in words is "two hundred thirty-three trillion, one hundred forty-one billion, three hundred twenty-three million, one hundred forty-one thousand, three hundred thirty-two".