221268934656 has 960 divisors, whose sum is σ = 860670360000. Its totient is φ = 55490641920.

The previous prime is 221268934651. The next prime is 221268934703. The reversal of 221268934656 is 656439862122.

221268934656 is a `hidden beast` number, since 2 + 212 + 6 + 89 + 346 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (221268934651) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7629963250 + ... + 7629963278.

It is an arithmetic number, because the mean of its divisors is an integer number (896531625).

Almost surely, 2^221268934656 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 221268934656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430335180000).

221268934656 is an abundant number, since it is smaller than the sum of its proper divisors (639401425344).

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

221268934656 is an frugal number, since it uses more digits than its factorization.

221268934656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 52 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 221268934656 in words is "two hundred twenty-one billion, two hundred sixty-eight million, nine hundred thirty-four thousand, six hundred fifty-six".