2116115284338 has 192 divisors, whose sum is σ = 5250135121920. Its totient is φ = 610396300800.

The previous prime is 2116115284337. The next prime is 2116115284403. The reversal of 2116115284338 is 8334825116112.

2116115284338 is a `hidden beast` number, since 2 + 1 + 1 + 61 + 152 + 8 + 433 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2116115284293 and 2116115284302.

It is not an unprimeable number, because it can be changed into a prime (2116115284333) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49235178 + ... + 49278138.

It is an arithmetic number, because the mean of its divisors is an integer number (27344453760).

Almost surely, 2^{2116115284338} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2116115284338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2625067560960).

2116115284338 is an abundant number, since it is smaller than the sum of its proper divisors (3134019837582).

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

2116115284338 is a wasteful number, since it uses less digits than its factorization.

2116115284338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43173 (or 43170 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 2116115284338 in words is "two trillion, one hundred sixteen billion, one hundred fifteen million, two hundred eighty-four thousand, three hundred thirty-eight".