221231087616 has 384 divisors, whose sum is σ = 741361279680. Its totient is φ = 57440993280.

The previous prime is 221231087593. The next prime is 221231087617. The reversal of 221231087616 is 616780132122.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (221231087617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83262160 + ... + 83264816.

Almost surely, 2^221231087616 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 221231087616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370680639840).

221231087616 is an abundant number, since it is smaller than the sum of its proper divisors (520130192064).

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

221231087616 is an equidigital number, since it uses as much as digits as its factorization.

221231087616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2719 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 221231087616 in words is "two hundred twenty-one billion, two hundred thirty-one million, eighty-seven thousand, six hundred sixteen".