221936248800 has 1296 divisors, whose sum is σ = 970069005360. Its totient is φ = 47470510080.

The previous prime is 221936248747. The next prime is 221936248811. The reversal of 221936248800 is 8842639122.

221936248800 is a `hidden beast` number, since 2 + 2 + 19 + 3 + 624 + 8 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 757461454 + ... + 757461746.

It is an arithmetic number, because the mean of its divisors is an integer number (748510035).

Almost surely, 2^221936248800 is an apocalyptic number.

221936248800 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 221936248800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485034502680).

221936248800 is an abundant number, since it is smaller than the sum of its proper divisors (748132756560).

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

221936248800 is a wasteful number, since it uses less digits than its factorization.

221936248800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 221936248800 in words is "two hundred twenty-one billion, nine hundred thirty-six million, two hundred forty-eight thousand, eight hundred".