2114116062112 has 48 divisors (see below), whose sum is σ = 4245671845800. Its totient is φ = 1035896988672.

The previous prime is 2114116062109. The next prime is 2114116062119. The reversal of 2114116062112 is 2112606114112.

It can be written as a sum of positive squares in 4 ways, for example, as 1069313173776 + 1044802888336 = 1034076^2 + 1022156^2 .

It is not an unprimeable number, because it can be changed into a prime (2114116062119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 716014 + ... + 2177362.

Almost surely, 2^{2114116062112} 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 2114116062112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122835922900).

2114116062112 is an abundant number, since it is smaller than the sum of its proper divisors (2131555783688).

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

2114116062112 is a wasteful number, since it uses less digits than its factorization.

2114116062112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462265 (or 1462257 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The spelling of 2114116062112 in words is "two trillion, one hundred fourteen billion, one hundred sixteen million, sixty-two thousand, one hundred twelve".