221105848320 has 768 divisors, whose sum is σ = 905553192960. Its totient is φ = 48837427200.

The previous prime is 221105848277. The next prime is 221105848451. The reversal of 221105848320 is 23848501122.

It is a happy number.

221105848320 is a `hidden beast` number, since 221 + 105 + 8 + 4 + 8 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×221105848320² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319979175 + ... + 319979865.

It is an arithmetic number, because the mean of its divisors is an integer number (1179105720).

Almost surely, 2^221105848320 is an apocalyptic number.

221105848320 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 221105848320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452776596480).

221105848320 is an abundant number, since it is smaller than the sum of its proper divisors (684447344640).

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

221105848320 is an equidigital number, since it uses as much as digits as its factorization.

221105848320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 221105848320 in words is "two hundred twenty-one billion, one hundred five million, eight hundred forty-eight thousand, three hundred twenty".