221648043455280 has 640 divisors, whose sum is σ = 839883843993600. Its totient is φ = 53390190956544.

The previous prime is 221648043455269. The next prime is 221648043455299. The reversal of 221648043455280 is 82554340846122.

221648043455280 is a `hidden beast` number, since 2 + 2 + 1 + 6 + 4 + 8 + 0 + 4 + 3 + 4 + 552 + 80 = 666.

It is a super-3 number, since 3×221648043455280³ (a number of 44 digits) contains 333 as substring.

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

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 127 ways as a sum of consecutive naturals, for example, 569801491 + ... + 570190349.

It is an arithmetic number, because the mean of its divisors is an integer number (1312318506240).

Almost surely, 2^{221648043455280} is an apocalyptic number.

221648043455280 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 221648043455280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419941921996800).

221648043455280 is an abundant number, since it is smaller than the sum of its proper divisors (618235800538320).

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

221648043455280 is a wasteful number, since it uses less digits than its factorization.

221648043455280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389330 (or 389318 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 54.

The spelling of 221648043455280 in words is "two hundred twenty-one trillion, six hundred forty-eight billion, forty-three million, four hundred fifty-five thousand, two hundred eighty".