221056373916 has 576 divisors, whose sum is σ = 716024365056. Its totient is φ = 58267123200.

The previous prime is 221056373891. The next prime is 221056373933. The reversal of 221056373916 is 619373650122.

221056373916 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 5 + 637 + 3 + 9 + 1 + 6 = 666.

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 191 ways as a sum of consecutive naturals, for example, 840518401 + ... + 840518663.

It is an arithmetic number, because the mean of its divisors is an integer number (1243097856).

Almost surely, 2^221056373916 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 221056373916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358012182528).

221056373916 is an abundant number, since it is smaller than the sum of its proper divisors (494967991140).

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

221056373916 is a wasteful number, since it uses less digits than its factorization.

221056373916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 221056373916 in words is "two hundred twenty-one billion, fifty-six million, three hundred seventy-three thousand, nine hundred sixteen".