4228321563648 has 1056 divisors, whose sum is σ = 15879741696000. Its totient is φ = 1052324462592.

The previous prime is 4228321563647. The next prime is 4228321563709. The reversal of 4228321563648 is 8463651238224.

4228321563648 is a `hidden beast` number, since 4 + 2 + 2 + 8 + 32 + 1 + 563 + 6 + 48 = 666.

It is a super-3 number, since 3×4228321563648³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 4228321563594 and 4228321563603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4228321563643) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7058967253 + ... + 7058967851.

Almost surely, 2^{4228321563648} is an apocalyptic number.

4228321563648 is a gapful number since it is divisible by the number (48) 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 4228321563648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7939870848000).

4228321563648 is an abundant number, since it is smaller than the sum of its proper divisors (11651420132352).

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

4228321563648 is a wasteful number, since it uses less digits than its factorization.

4228321563648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1086 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The spelling of 4228321563648 in words is "four trillion, two hundred twenty-eight billion, three hundred twenty-one million, five hundred sixty-three thousand, six hundred forty-eight".