220940187921648 has 560 divisors, whose sum is σ = 720164054988000. Its totient is φ = 65165011494912.

The previous prime is 220940187921643. The next prime is 220940187921671. The reversal of 220940187921648 is 846129781049022.

220940187921648 is a `hidden beast` number, since 2 + 2 + 0 + 9 + 401 + 8 + 7 + 9 + 216 + 4 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220940187921643) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 611047858 + ... + 611409326.

It is an arithmetic number, because the mean of its divisors is an integer number (1286007241050).

Almost surely, 2^{220940187921648} 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 220940187921648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360082027494000).

220940187921648 is an abundant number, since it is smaller than the sum of its proper divisors (499223867066352).

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

220940187921648 is a wasteful number, since it uses less digits than its factorization.

220940187921648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361676 (or 361655 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 220940187921648 in words is "two hundred twenty trillion, nine hundred forty billion, one hundred eighty-seven million, nine hundred twenty-one thousand, six hundred forty-eight".