220648812912 has 320 divisors, whose sum is σ = 738833425920. Its totient is φ = 62304768000.

The previous prime is 220648812877. The next prime is 220648812919. The reversal of 220648812912 is 219218846022.

220648812912 is a `hidden beast` number, since 220 + 64 + 8 + 81 + 291 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220648812919) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8145663 + ... + 8172705.

It is an arithmetic number, because the mean of its divisors is an integer number (2308854456).

Almost surely, 2^220648812912 is an apocalyptic number.

220648812912 is a gapful number since it is divisible by the number (22) 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 220648812912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369416712960).

220648812912 is an abundant number, since it is smaller than the sum of its proper divisors (518184613008).

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

220648812912 is a wasteful number, since it uses less digits than its factorization.

220648812912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27189 (or 27177 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 220648812912 in words is "two hundred twenty billion, six hundred forty-eight million, eight hundred twelve thousand, nine hundred twelve".