233123161321332 has 144 divisors (see below), whose sum is σ = 609182098866432. Its totient is φ = 75124508712960.

The previous prime is 233123161321289. The next prime is 233123161321361.

233123161321332 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 2 + 3 + 1 + 613 + 2 + 1 + 3 + 32 = 666.

233123161321332 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 794299732 + ... + 794593172.

It is an arithmetic number, because the mean of its divisors is an integer number (4230431242128).

Almost surely, 2^{233123161321332} 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 233123161321332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304591049433216).

233123161321332 is an abundant number, since it is smaller than the sum of its proper divisors (376058937545100).

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

233123161321332 is a wasteful number, since it uses less digits than its factorization.

233123161321332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299238 (or 299233 counting only the distinct ones).

The product of its digits is 69984, while the sum is 36.

The spelling of 233123161321332 in words is "two hundred thirty-three trillion, one hundred twenty-three billion, one hundred sixty-one million, three hundred twenty-one thousand, three hundred thirty-two".