2201232208896 has 528 divisors, whose sum is σ = 7982523777600. Its totient is φ = 595815284736.

The previous prime is 2201232208859. The next prime is 2201232208919. The reversal of 2201232208896 is 6988022321022.

2201232208896 is a `hidden beast` number, since 2 + 201 + 232 + 208 + 8 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25697530 + ... + 25783046.

Almost surely, 2^{2201232208896} 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 2201232208896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3991261888800).

2201232208896 is an abundant number, since it is smaller than the sum of its proper divisors (5781291568704).

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

2201232208896 is a wasteful number, since it uses less digits than its factorization.

2201232208896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85579 (or 85548 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 2201232208896 in words is "two trillion, two hundred one billion, two hundred thirty-two million, two hundred eight thousand, eight hundred ninety-six".