2113839436896 has 576 divisors, whose sum is σ = 7256471878656. Its totient is φ = 576298598400.

The previous prime is 2113839436843. The next prime is 2113839436897. The reversal of 2113839436896 is 6986349383112.

2113839436896 is a `hidden beast` number, since 2 + 1 + 138 + 394 + 36 + 89 + 6 = 666.

It is a super-2 number, since 2×2113839436896² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113839436897) 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 95 ways as a sum of consecutive naturals, for example, 108833266 + ... + 108852686.

It is an arithmetic number, because the mean of its divisors is an integer number (12598041456).

Almost surely, 2^{2113839436896} 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 2113839436896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628235939328).

2113839436896 is an abundant number, since it is smaller than the sum of its proper divisors (5142632441760).

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

2113839436896 is a wasteful number, since it uses less digits than its factorization.

2113839436896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19555 (or 19544 counting only the distinct ones).

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

The spelling of 2113839436896 in words is "two trillion, one hundred thirteen billion, eight hundred thirty-nine million, four hundred thirty-six thousand, eight hundred ninety-six".