201882344052224 has 320 divisors, whose sum is σ = 481922369280000. Its totient is φ = 83412644659200.

The previous prime is 201882344052209. The next prime is 201882344052253. The reversal of 201882344052224 is 422250443288102.

201882344052224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 1480995782 + ... + 1481132090.

It is an arithmetic number, because the mean of its divisors is an integer number (1506007404000).

Almost surely, 2^{201882344052224} 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 201882344052224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240961184640000).

201882344052224 is an abundant number, since it is smaller than the sum of its proper divisors (280040025227776).

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

201882344052224 is a wasteful number, since it uses less digits than its factorization.

201882344052224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136885 (or 136869 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 47.

The spelling of 201882344052224 in words is "two hundred one trillion, eight hundred eighty-two billion, three hundred forty-four million, fifty-two thousand, two hundred twenty-four".