2113348433112 has 288 divisors, whose sum is σ = 6719666054400. Its totient is φ = 587618323200.

The previous prime is 2113348433051. The next prime is 2113348433191.

2113348433112 is a `hidden beast` number, since 2 + 1 + 1 + 33 + 484 + 33 + 112 = 666.

2113348433112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 303333453 + ... + 303340419.

It is an arithmetic number, because the mean of its divisors is an integer number (23332173800).

Almost surely, 2^{2113348433112} 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 2113348433112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359833027200).

2113348433112 is an abundant number, since it is smaller than the sum of its proper divisors (4606317621288).

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

2113348433112 is a wasteful number, since it uses less digits than its factorization.

2113348433112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7247 (or 7139 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 2113348433112 in words is "two trillion, one hundred thirteen billion, three hundred forty-eight million, four hundred thirty-three thousand, one hundred twelve".