220468090128 has 960 divisors, whose sum is σ = 762276925440. Its totient is φ = 54121267200.

The previous prime is 220468090123. The next prime is 220468090133. The reversal of 220468090128 is 821090864022.

It is an interprime number because it is at equal distance from previous prime (220468090123) and next prime (220468090133).

It is a self number, because there is not a number n which added to its sum of digits gives 220468090128.

It is not an unprimeable number, because it can be changed into a prime (220468090123) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2477169508 + ... + 2477169596.

It is an arithmetic number, because the mean of its divisors is an integer number (794038464).

Almost surely, 2^220468090128 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 220468090128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381138462720).

220468090128 is an abundant number, since it is smaller than the sum of its proper divisors (541808835312).

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

220468090128 is a wasteful number, since it uses less digits than its factorization.

220468090128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 220468090128 in words is "two hundred twenty billion, four hundred sixty-eight million, ninety thousand, one hundred twenty-eight".