2206113882336 has 576 divisors, whose sum is σ = 8039925444096. Its totient is φ = 579467520000.

The previous prime is 2206113882311. The next prime is 2206113882367. The reversal of 2206113882336 is 6332883116022.

2206113882336 is a `hidden beast` number, since 2 + 2 + 0 + 611 + 3 + 8 + 8 + 23 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2206113882291 and 2206113882300.

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, 177605406 + ... + 177617826.

It is an arithmetic number, because the mean of its divisors is an integer number (13958203896).

Almost surely, 2^{2206113882336} is an apocalyptic number.

2206113882336 is a gapful number since it is divisible by the number (26) 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 2206113882336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4019962722048).

2206113882336 is an abundant number, since it is smaller than the sum of its proper divisors (5833811561760).

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

2206113882336 is a wasteful number, since it uses less digits than its factorization.

2206113882336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12717 (or 12697 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

Adding to 2206113882336 its reverse (6332883116022), we get a palindrome (8538996998358).

The spelling of 2206113882336 in words is "two trillion, two hundred six billion, one hundred thirteen million, eight hundred eighty-two thousand, three hundred thirty-six".