2113738837056 has 1344 divisors, whose sum is σ = 8063059230720. Its totient is φ = 513547776000.

The previous prime is 2113738837051. The next prime is 2113738837183. The reversal of 2113738837056 is 6507388373112.

It is a happy number.

2113738837056 is a `hidden beast` number, since 211 + 3 + 7 + 3 + 8 + 8 + 370 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a junction number, because it is equal to n+sod(n) for n = 2113738836993 and 2113738837011.

It is not an unprimeable number, because it can be changed into a prime (2113738837051) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5759506185 + ... + 5759506551.

Almost surely, 2^{2113738837056} 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 2113738837056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4031529615360).

2113738837056 is an abundant number, since it is smaller than the sum of its proper divisors (5949320393664).

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

2113738837056 is a wasteful number, since it uses less digits than its factorization.

2113738837056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 2113738837056 in words is "two trillion, one hundred thirteen billion, seven hundred thirty-eight million, eight hundred thirty-seven thousand, fifty-six".