220311005322044 has 288 divisors, whose sum is σ = 506412667192320. Its totient is φ = 82966583411712.

The previous prime is 220311005322041. The next prime is 220311005322061. The reversal of 220311005322044 is 440223500113022.

It is a junction number, because it is equal to n+sod(n) for n = 220311005321998 and 220311005322016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220311005322041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11794573097 + ... + 11794591775.

It is an arithmetic number, because the mean of its divisors is an integer number (1758377316640).

Almost surely, 2^{220311005322044} 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 220311005322044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253206333596160).

220311005322044 is an abundant number, since it is smaller than the sum of its proper divisors (286101661870276).

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

220311005322044 is a wasteful number, since it uses less digits than its factorization.

220311005322044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19689 (or 19680 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 220311005322044 its reverse (440223500113022), we get a palindrome (660534505435066).

The spelling of 220311005322044 in words is "two hundred twenty trillion, three hundred eleven billion, five million, three hundred twenty-two thousand, forty-four".