220107792448 has 112 divisors (see below), whose sum is σ = 449797017600. Its totient is φ = 106822969344.

The previous prime is 220107792431. The next prime is 220107792449. The reversal of 220107792448 is 844297701022.

It is a junction number, because it is equal to n+sod(n) for n = 220107792398 and 220107792407.

It is not an unprimeable number, because it can be changed into a prime (220107792449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258039190 + ... + 258040042.

It is an arithmetic number, because the mean of its divisors is an integer number (4016044800).

Almost surely, 2^220107792448 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 220107792448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224898508800).

220107792448 is an abundant number, since it is smaller than the sum of its proper divisors (229689225152).

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

220107792448 is a wasteful number, since it uses less digits than its factorization.

220107792448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 46.

The spelling of 220107792448 in words is "two hundred twenty billion, one hundred seven million, seven hundred ninety-two thousand, four hundred forty-eight".