233345323543332 has 864 divisors, whose sum is σ = 776175772512000. Its totient is φ = 54434125025280.

The previous prime is 233345323543313. The next prime is 233345323543361.

233345323543332 is nontrivially palindromic in base 10.

233345323543332 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3114181644 + ... + 3114256572.

Almost surely, 2^{233345323543332} is an apocalyptic number.

233345323543332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233345323543332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388087886256000).

233345323543332 is an abundant number, since it is smaller than the sum of its proper divisors (542830448968668).

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

233345323543332 is a wasteful number, since it uses less digits than its factorization.

233345323543332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75042 (or 75002 counting only the distinct ones).

The product of its digits is 20995200, while the sum is 48.

The spelling of 233345323543332 in words is "two hundred thirty-three trillion, three hundred forty-five billion, three hundred twenty-three million, five hundred forty-three thousand, three hundred thirty-two".