221333111002332 has 192 divisors, whose sum is σ = 673563809479680. Its totient is φ = 61525458489600.

The previous prime is 221333111002217. The next prime is 221333111002343. The reversal of 221333111002332 is 233200111333122.

221333111002332 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 3 + 311 + 10 + 0 + 2 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 221333111002296 and 221333111002305.

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 63 ways as a sum of consecutive naturals, for example, 522612982 + ... + 523036322.

It is an arithmetic number, because the mean of its divisors is an integer number (3508144841040).

Almost surely, 2^{221333111002332} 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 221333111002332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336781904739840).

221333111002332 is an abundant number, since it is smaller than the sum of its proper divisors (452230698477348).

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

221333111002332 is a wasteful number, since it uses less digits than its factorization.

221333111002332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442089 (or 442081 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 221333111002332 its reverse (233200111333122), we get a palindrome (454533222335454).

The spelling of 221333111002332 in words is "two hundred twenty-one trillion, three hundred thirty-three billion, one hundred eleven million, two thousand, three hundred thirty-two".