220076180549344 has 576 divisors, whose sum is σ = 537992420216832. Its totient is φ = 88203296563200.

The previous prime is 220076180549279. The next prime is 220076180549353. The reversal of 220076180549344 is 443945081670022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 223882177077 + ... + 223882178059.

It is an arithmetic number, because the mean of its divisors is an integer number (934014618432).

It is a 1-persistent number, because it is pandigital, but 2⋅220076180549344 = 440152361098688 is not.

Almost surely, 2^{220076180549344} 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 220076180549344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268996210108416).

220076180549344 is an abundant number, since it is smaller than the sum of its proper divisors (317916239667488).

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

220076180549344 is a wasteful number, since it uses less digits than its factorization.

220076180549344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 55.

The spelling of 220076180549344 in words is "two hundred twenty trillion, seventy-six billion, one hundred eighty million, five hundred forty-nine thousand, three hundred forty-four".