233331222133332 has 72 divisors (see below), whose sum is σ = 595709392011552. Its totient is φ = 76999219128000.

The previous prime is 233331222133327. The next prime is 233331222133349.

It is a happy number.

233331222133332 is a `hidden beast` number, since 2 + 3 + 3 + 3 + 312 + 2 + 2 + 1 + 3 + 3 + 332 = 666.

233331222133332 is nontrivially palindromic in base 10.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32783107 + ... + 39260597.

It is an arithmetic number, because the mean of its divisors is an integer number (8273741555716).

Almost surely, 2^{233331222133332} is an apocalyptic number.

It is an amenable number.

233331222133332 is an abundant number, since it is smaller than the sum of its proper divisors (362378169878220).

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

233331222133332 is a wasteful number, since it uses less digits than its factorization.

233331222133332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6487509 (or 6487504 counting only the distinct ones).

The product of its digits is 209952, while the sum is 36.

The spelling of 233331222133332 in words is "two hundred thirty-three trillion, three hundred thirty-one billion, two hundred twenty-two million, one hundred thirty-three thousand, three hundred thirty-two".