221663893248 has 576 divisors, whose sum is σ = 827767019520. Its totient is φ = 57010618368.

The previous prime is 221663893237. The next prime is 221663893291. The reversal of 221663893248 is 842398366122.

221663893248 is a `hidden beast` number, since 2 + 2 + 16 + 6 + 389 + 3 + 248 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 221663893194 and 221663893203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18912286 + ... + 18924002.

It is an arithmetic number, because the mean of its divisors is an integer number (1437095520).

Almost surely, 2^221663893248 is an apocalyptic number.

221663893248 is a gapful number since it is divisible by the number (28) 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 221663893248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413883509760).

221663893248 is an abundant number, since it is smaller than the sum of its proper divisors (606103126272).

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

221663893248 is a wasteful number, since it uses less digits than its factorization.

221663893248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11789 (or 11769 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 221663893248 in words is "two hundred twenty-one billion, six hundred sixty-three million, eight hundred ninety-three thousand, two hundred forty-eight".