221120494144 has 224 divisors, whose sum is σ = 514095869952. Its totient is φ = 93350400000.

The previous prime is 221120494109. The next prime is 221120494151. The reversal of 221120494144 is 441494021122.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166631209 + ... + 166632535.

It is an arithmetic number, because the mean of its divisors is an integer number (2295070848).

Almost surely, 2^221120494144 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 221120494144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257047934976).

221120494144 is an abundant number, since it is smaller than the sum of its proper divisors (292975375808).

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

221120494144 is a wasteful number, since it uses less digits than its factorization.

221120494144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The spelling of 221120494144 in words is "two hundred twenty-one billion, one hundred twenty million, four hundred ninety-four thousand, one hundred forty-four".