220267428992 has 72 divisors (see below), whose sum is σ = 475314430545. Its totient is φ = 101630031360.

The previous prime is 220267428977. The next prime is 220267429033. The reversal of 220267428992 is 299824762022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 188335168576 + 31932260416 = 433976^2 + 178696^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=331864.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 69026117 + ... + 69029307.

Almost surely, 2^220267428992 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 220267428992

220267428992 is an abundant number, since it is smaller than the sum of its proper divisors (255047001553).

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

220267428992 is an frugal number, since it uses more digits than its factorization.

220267428992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6422 (or 3206 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 53.

The spelling of 220267428992 in words is "two hundred twenty billion, two hundred sixty-seven million, four hundred twenty-eight thousand, nine hundred ninety-two".