2199336126336 has 448 divisors, whose sum is σ = 6964753392000. Its totient is φ = 690254991360.

The previous prime is 2199336126329. The next prime is 2199336126353. The reversal of 2199336126336 is 6336216339912.

2199336126336 is a `hidden beast` number, since 2 + 19 + 9 + 3 + 3 + 612 + 6 + 3 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 107018590 + ... + 107039138.

Almost surely, 2^{2199336126336} 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 2199336126336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3482376696000).

2199336126336 is an abundant number, since it is smaller than the sum of its proper divisors (4765417265664).

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

2199336126336 is an equidigital number, since it uses as much as digits as its factorization.

2199336126336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20649 (or 20622 counting only the distinct ones).

The product of its digits is 5668704, while the sum is 54.

The spelling of 2199336126336 in words is "two trillion, one hundred ninety-nine billion, three hundred thirty-six million, one hundred twenty-six thousand, three hundred thirty-six".