16116116112 has 60 divisors (see below), whose sum is σ = 45331769340. Its totient is φ = 5344760064.

The previous prime is 16116116087. The next prime is 16116116113. The reversal of 16116116112 is 21161161161.

It can be written as a sum of positive squares in 2 ways, for example, as 13512667536 + 2603448576 = 116244^2 + 51024^2 .

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

It is not an unprimeable number, because it can be changed into a prime (16116116113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 255687 + ... + 312422.

It is an arithmetic number, because the mean of its divisors is an integer number (755529489).

Almost surely, 2^16116116112 is an apocalyptic number.

16116116112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16116116112 is an abundant number, since it is smaller than the sum of its proper divisors (29215653228).

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

16116116112 is a wasteful number, since it uses less digits than its factorization.

16116116112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568320 (or 568311 counting only the distinct ones).

The product of its digits is 432, while the sum is 27.

Adding to 16116116112 its reverse (21161161161), we get a palindrome (37277277273).

The spelling of 16116116112 in words is "sixteen billion, one hundred sixteen million, one hundred sixteen thousand, one hundred twelve".