233563121365332 has 288 divisors, whose sum is σ = 627053321502720. Its totient is φ = 67561176672000.

The previous prime is 233563121365307. The next prime is 233563121365339.

It is a happy number.

233563121365332 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×233563121365332² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233563121365339) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 461554269 + ... + 462060027.

It is an arithmetic number, because the mean of its divisors is an integer number (2177268477440).

Almost surely, 2^{233563121365332} is an apocalyptic number.

233563121365332 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 233563121365332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313526660751360).

233563121365332 is an abundant number, since it is smaller than the sum of its proper divisors (393490200137388).

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

233563121365332 is a wasteful number, since it uses less digits than its factorization.

233563121365332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506003 (or 505990 counting only the distinct ones).

The product of its digits is 5248800, while the sum is 48.

The spelling of 233563121365332 in words is "two hundred thirty-three trillion, five hundred sixty-three billion, one hundred twenty-one million, three hundred sixty-five thousand, three hundred thirty-two".