2199341448936 has 288 divisors, whose sum is σ = 6378019015680. Its totient is φ = 684507801600.

The previous prime is 2199341448901. The next prime is 2199341448959. The reversal of 2199341448936 is 6398441439912.

2199341448936 is a `hidden beast` number, since 2 + 1 + 9 + 93 + 414 + 48 + 93 + 6 = 666.

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

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 71 ways as a sum of consecutive naturals, for example, 2507800530 + ... + 2507801406.

It is an arithmetic number, because the mean of its divisors is an integer number (22145899360).

Almost surely, 2^{2199341448936} 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 2199341448936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3189009507840).

2199341448936 is an abundant number, since it is smaller than the sum of its proper divisors (4178677566744).

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

2199341448936 is a wasteful number, since it uses less digits than its factorization.

2199341448936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745 (or 1721 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 63.

The spelling of 2199341448936 in words is "two trillion, one hundred ninety-nine billion, three hundred forty-one million, four hundred forty-eight thousand, nine hundred thirty-six".