221857869524448 has 192 divisors, whose sum is σ = 608130694080000. Its totient is φ = 70733450962944.

The previous prime is 221857869524353. The next prime is 221857869524507. The reversal of 221857869524448 is 844425968758122.

It is a happy number.

221857869524448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 221857869524448.

It is a congruent number.

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, 125995311 + ... + 127744017.

It is an arithmetic number, because the mean of its divisors is an integer number (3167347365000).

Almost surely, 2^{221857869524448} 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 221857869524448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304065347040000).

221857869524448 is an abundant number, since it is smaller than the sum of its proper divisors (386272824555552).

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

221857869524448 is a wasteful number, since it uses less digits than its factorization.

221857869524448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749177 (or 1749169 counting only the distinct ones).

The product of its digits is 2477260800, while the sum is 75.

The spelling of 221857869524448 in words is "two hundred twenty-one trillion, eight hundred fifty-seven billion, eight hundred sixty-nine million, five hundred twenty-four thousand, four hundred forty-eight".