220099486405344 has 768 divisors, whose sum is σ = 733066928455680. Its totient is φ = 56266558709760.

The previous prime is 220099486405339. The next prime is 220099486405367. The reversal of 220099486405344 is 443504684990022.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 168917486997 + ... + 168917488299.

It is an arithmetic number, because the mean of its divisors is an integer number (954514229760).

Almost surely, 2^{220099486405344} is an apocalyptic number.

220099486405344 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 220099486405344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366533464227840).

220099486405344 is an abundant number, since it is smaller than the sum of its proper divisors (512967442050336).

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

220099486405344 is a wasteful number, since it uses less digits than its factorization.

220099486405344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2943 (or 2935 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 60.

The spelling of 220099486405344 in words is "two hundred twenty trillion, ninety-nine billion, four hundred eighty-six million, four hundred five thousand, three hundred forty-four".