221448643234560 has 1152 divisors, whose sum is σ = 908068756008960. Its totient is φ = 50056207663104.

The previous prime is 221448643234541. The next prime is 221448643234627. The reversal of 221448643234560 is 65432346844122.

221448643234560 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 4 + 8 + 6 + 43 + 2 + 34 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 221448643234497 and 221448643234506.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19261422732 + ... + 19261434228.

It is an arithmetic number, because the mean of its divisors is an integer number (788254128480).

Almost surely, 2^{221448643234560} is an apocalyptic number.

221448643234560 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 221448643234560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454034378004480).

221448643234560 is an abundant number, since it is smaller than the sum of its proper divisors (686620112774400).

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

221448643234560 is a wasteful number, since it uses less digits than its factorization.

221448643234560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12410 (or 12390 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 54.

The spelling of 221448643234560 in words is "two hundred twenty-one trillion, four hundred forty-eight billion, six hundred forty-three million, two hundred thirty-four thousand, five hundred sixty".