220683273888 has 288 divisors, whose sum is σ = 762258470400. Its totient is φ = 54302814720.

The previous prime is 220683273847. The next prime is 220683273947. The reversal of 220683273888 is 888372386022.

220683273888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×220683273888² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2627163 + ... + 2709861.

It is an arithmetic number, because the mean of its divisors is an integer number (2646730800).

Almost surely, 2^220683273888 is an apocalyptic number.

220683273888 is a gapful number since it is divisible by the number (28) 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 220683273888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381129235200).

220683273888 is an abundant number, since it is smaller than the sum of its proper divisors (541575196512).

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

220683273888 is a wasteful number, since it uses less digits than its factorization.

220683273888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82768 (or 82741 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 57.

The spelling of 220683273888 in words is "two hundred twenty billion, six hundred eighty-three million, two hundred seventy-three thousand, eight hundred eighty-eight".