221556842136 has 192 divisors, whose sum is σ = 712978855680. Its totient is φ = 63140964480.

The previous prime is 221556842081. The next prime is 221556842203. The reversal of 221556842136 is 631248655122.

221556842136 is a `hidden beast` number, since 2 + 2 + 1 + 556 + 84 + 2 + 13 + 6 = 666.

221556842136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 221556842091 and 221556842100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5381871 + ... + 5422881.

It is an arithmetic number, because the mean of its divisors is an integer number (3713431540).

Almost surely, 2^221556842136 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 221556842136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356489427840).

221556842136 is an abundant number, since it is smaller than the sum of its proper divisors (491422013544).

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

221556842136 is a wasteful number, since it uses less digits than its factorization.

221556842136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41436 (or 41420 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 221556842136 in words is "two hundred twenty-one billion, five hundred fifty-six million, eight hundred forty-two thousand, one hundred thirty-six".