6623100013266 has 288 divisors, whose sum is σ = 16886243477376. Its totient is φ = 1870543065600.

The previous prime is 6623100013253. The next prime is 6623100013267.

6623100013266 is a `hidden beast` number, since 6 + 623 + 1 + 0 + 0 + 0 + 1 + 3 + 26 + 6 = 666.

6623100013266 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 6623100013266.

It is not an unprimeable number, because it can be changed into a prime (6623100013267) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 303508636 + ... + 303530456.

It is an arithmetic number, because the mean of its divisors is an integer number (58632789852).

Almost surely, 2^{6623100013266} is an apocalyptic number.

6623100013266 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6623100013266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8443121738688).

6623100013266 is an abundant number, since it is smaller than the sum of its proper divisors (10263143464110).

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

6623100013266 is a wasteful number, since it uses less digits than its factorization.

6623100013266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22030 (or 22016 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

It can be divided in two parts, 66231000 and 13266, that added together give a palindrome (66244266).

The spelling of 6623100013266 in words is "six trillion, six hundred twenty-three billion, one hundred million, thirteen thousand, two hundred sixty-six".