221640356405312 has 168 divisors, whose sum is σ = 495175688310600. Its totient is φ = 98266727989248.

The previous prime is 221640356405261. The next prime is 221640356405389. The reversal of 221640356405312 is 213504653046122.

It can be written as a sum of positive squares in 12 ways, for example, as 2294303972416 + 219346052432896 = 1514696^2 + 14810336^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59998364 + ... + 63585252.

Almost surely, 2^{221640356405312} 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 221640356405312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247587844155300).

221640356405312 is an abundant number, since it is smaller than the sum of its proper divisors (273535331905288).

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

221640356405312 is a wasteful number, since it uses less digits than its factorization.

221640356405312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3587153 (or 3587130 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 44.

The spelling of 221640356405312 in words is "two hundred twenty-one trillion, six hundred forty billion, three hundred fifty-six million, four hundred five thousand, three hundred twelve".