2113765058944 has 256 divisors, whose sum is σ = 5534914291200. Its totient is φ = 779001200640.

The previous prime is 2113765058939. The next prime is 2113765058983. The reversal of 2113765058944 is 4498505673112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126769392 + ... + 126786064.

It is an arithmetic number, because the mean of its divisors is an integer number (21620758950).

It is a 1-persistent number, because it is pandigital, but 2⋅2113765058944 = 4227530117888 is not.

Almost surely, 2^{2113765058944} 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 2113765058944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767457145600).

2113765058944 is an abundant number, since it is smaller than the sum of its proper divisors (3421149232256).

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

2113765058944 is a wasteful number, since it uses less digits than its factorization.

2113765058944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17401 (or 17389 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 55.

The spelling of 2113765058944 in words is "two trillion, one hundred thirteen billion, seven hundred sixty-five million, fifty-eight thousand, nine hundred forty-four".