220705108344 has 480 divisors, whose sum is σ = 774844815360. Its totient is φ = 57424204800.

The previous prime is 220705108319. The next prime is 220705108387. The reversal of 220705108344 is 443801507022.

It is a happy number.

220705108344 is a `hidden beast` number, since 2 + 20 + 7 + 0 + 510 + 83 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 220705108299 and 220705108308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 40635309 + ... + 40640739.

It is an arithmetic number, because the mean of its divisors is an integer number (1614260032).

Almost surely, 2^220705108344 is an apocalyptic number.

220705108344 is a gapful number since it is divisible by the number (24) 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 220705108344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387422407680).

220705108344 is an abundant number, since it is smaller than the sum of its proper divisors (554139707016).

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

220705108344 is a wasteful number, since it uses less digits than its factorization.

220705108344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5521 (or 5491 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 220705108344 in words is "two hundred twenty billion, seven hundred five million, one hundred eight thousand, three hundred forty-four".