221441077264144 has 80 divisors (see below), whose sum is σ = 459871670079360. Its totient is φ = 103027299978240.

The previous prime is 221441077264111. The next prime is 221441077264159. The reversal of 221441077264144 is 441462770144122.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81572359 + ... + 84243289.

It is an arithmetic number, because the mean of its divisors is an integer number (5748395875992).

Almost surely, 2^{221441077264144} 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 221441077264144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229935835039680).

221441077264144 is an abundant number, since it is smaller than the sum of its proper divisors (238430592815216).

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

221441077264144 is a wasteful number, since it uses less digits than its factorization.

221441077264144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2677088 (or 2677082 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 49.

The spelling of 221441077264144 in words is "two hundred twenty-one trillion, four hundred forty-one billion, seventy-seven million, two hundred sixty-four thousand, one hundred forty-four".