220385307648 has 176 divisors, whose sum is σ = 641311409664. Its totient is φ = 66730967040.

The previous prime is 220385307619. The next prime is 220385307671. The reversal of 220385307648 is 846703583022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 220385307597 and 220385307606.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79646361 + ... + 79649127.

Almost surely, 2^220385307648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220385307648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320655704832).

220385307648 is an abundant number, since it is smaller than the sum of its proper divisors (420926102016).

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

220385307648 is a wasteful number, since it uses less digits than its factorization.

220385307648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5158 (or 5140 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 220385307648 in words is "two hundred twenty billion, three hundred eighty-five million, three hundred seven thousand, six hundred forty-eight".