220413633066 has 96 divisors (see below), whose sum is σ = 537461503488. Its totient is φ = 64694920320.

The previous prime is 220413633047. The next prime is 220413633071. The reversal of 220413633066 is 660336314022.

220413633066 is a `hidden beast` number, since 2 + 2 + 0 + 4 + 13 + 633 + 0 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 220413633066.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1566240 + ... + 1701156.

It is an arithmetic number, because the mean of its divisors is an integer number (5598557328).

Almost surely, 2^220413633066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220413633066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268730751744).

220413633066 is an abundant number, since it is smaller than the sum of its proper divisors (317047870422).

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

220413633066 is a wasteful number, since it uses less digits than its factorization.

220413633066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135196 (or 135193 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 220413633066 its reverse (660336314022), we get a palindrome (880749947088).

The spelling of 220413633066 in words is "two hundred twenty billion, four hundred thirteen million, six hundred thirty-three thousand, sixty-six".