220818945600 has 1008 divisors, whose sum is σ = 903422445120. Its totient is φ = 50654822400.

The previous prime is 220818945553. The next prime is 220818945619. The reversal of 220818945600 is 6549818022.

220818945600 is a `hidden beast` number, since 2 + 2 + 0 + 8 + 1 + 89 + 4 + 560 + 0 = 666.

220818945600 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 2×220818945600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 243460347 + ... + 243461253.

Almost surely, 2^220818945600 is an apocalyptic number.

220818945600 is a gapful number since it is divisible by the number (20) 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 220818945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451711222560).

220818945600 is an abundant number, since it is smaller than the sum of its proper divisors (682603499520).

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

220818945600 is a wasteful number, since it uses less digits than its factorization.

220818945600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 220818945600 in words is "two hundred twenty billion, eight hundred eighteen million, nine hundred forty-five thousand, six hundred".