221441504048128 has 176 divisors, whose sum is σ = 545492598388864. Its totient is φ = 87495183728640.

The previous prime is 221441504048059. The next prime is 221441504048147. The reversal of 221441504048128 is 821840405144122.

It is a super-3 number, since 3×221441504048128³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74107126 + ... + 77037322.

Almost surely, 2^{221441504048128} is an apocalyptic number.

221441504048128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221441504048128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272746299194432).

221441504048128 is an abundant number, since it is smaller than the sum of its proper divisors (324051094340736).

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

221441504048128 is a wasteful number, since it uses less digits than its factorization.

221441504048128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2931048 (or 2931030 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 46.

The spelling of 221441504048128 in words is "two hundred twenty-one trillion, four hundred forty-one billion, five hundred four million, forty-eight thousand, one hundred twenty-eight".