220002118813632 has 224 divisors, whose sum is σ = 621484111360000. Its totient is φ = 68484059864064.

The previous prime is 220002118813619. The next prime is 220002118813657. The reversal of 220002118813632 is 236318811200022.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 177774219 + ... + 179007477.

It is an arithmetic number, because the mean of its divisors is an integer number (2774482640000).

Almost surely, 2^{220002118813632} 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 220002118813632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310742055680000).

220002118813632 is an abundant number, since it is smaller than the sum of its proper divisors (401481992546368).

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

220002118813632 is a wasteful number, since it uses less digits than its factorization.

220002118813632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233991 (or 1233981 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 220002118813632 in words is "two hundred twenty trillion, two billion, one hundred eighteen million, eight hundred thirteen thousand, six hundred thirty-two".