221856643008 has 1344 divisors, whose sum is σ = 907152099840. Its totient is φ = 52254720000.

The previous prime is 221856643003. The next prime is 221856643033. The reversal of 221856643008 is 800346658122.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221856643003) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 883890883 + ... + 883891133.

It is an arithmetic number, because the mean of its divisors is an integer number (674964360).

Almost surely, 2^221856643008 is an apocalyptic number.

221856643008 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 221856643008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453576049920).

221856643008 is an abundant number, since it is smaller than the sum of its proper divisors (685295456832).

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

221856643008 is a wasteful number, since it uses less digits than its factorization.

221856643008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 221856643008 in words is "two hundred twenty-one billion, eight hundred fifty-six million, six hundred forty-three thousand, eight".