221663455773760 has 672 divisors, whose sum is σ = 715193267152896. Its totient is φ = 63675157708800.

The previous prime is 221663455773709. The next prime is 221663455773883. The reversal of 221663455773760 is 67377554366122.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 221663455773692 and 221663455773701.

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 95 ways as a sum of consecutive naturals, for example, 2258527249 + ... + 2258625391.

It is an arithmetic number, because the mean of its divisors is an integer number (1064275695168).

Almost surely, 2^{221663455773760} is an apocalyptic number.

221663455773760 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 221663455773760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357596633576448).

221663455773760 is an abundant number, since it is smaller than the sum of its proper divisors (493529811379136).

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

221663455773760 is a wasteful number, since it uses less digits than its factorization.

221663455773760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98843 (or 98822 counting only the distinct ones).

The product of its (nonzero) digits is 266716800, while the sum is 64.

The spelling of 221663455773760 in words is "two hundred twenty-one trillion, six hundred sixty-three billion, four hundred fifty-five million, seven hundred seventy-three thousand, seven hundred sixty".