221663044800 has 1008 divisors, whose sum is σ = 861766843392. Its totient is φ = 55962316800.

The previous prime is 221663044789. The next prime is 221663044819. The reversal of 221663044800 is 8440366122.

221663044800 is a `hidden beast` number, since 2 + 2 + 16 + 630 + 4 + 4 + 8 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 638798227 + ... + 638798573.

It is an arithmetic number, because the mean of its divisors is an integer number (854927424).

Almost surely, 2^221663044800 is an apocalyptic number.

221663044800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221663044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430883421696).

221663044800 is an abundant number, since it is smaller than the sum of its proper divisors (640103798592).

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

221663044800 is a wasteful number, since it uses less digits than its factorization.

221663044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 221663044800 in words is "two hundred twenty-one billion, six hundred sixty-three million, forty-four thousand, eight hundred".