221649116016 has 40 divisors (see below), whose sum is σ = 575591445504. Its totient is φ = 73496213440.

The previous prime is 221649116009. The next prime is 221649116153. The reversal of 221649116016 is 610611946122.

221649116016 is digitally balanced in base 2, 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 (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12079026 + ... + 12097361.

Almost surely, 2^221649116016 is an apocalyptic number.

It is an amenable number.

221649116016 is an abundant number, since it is smaller than the sum of its proper divisors (353942329488).

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

221649116016 is a wasteful number, since it uses less digits than its factorization.

221649116016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24176589 (or 24176583 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 221649116016 in words is "two hundred twenty-one billion, six hundred forty-nine million, one hundred sixteen thousand, sixteen".