2816114688 has 160 divisors (see below), whose sum is σ = 8421378570. Its totient is φ = 937820160.

The previous prime is 2816114681. The next prime is 2816114689. The reversal of 2816114688 is 8864116182.

2816114688 is a `hidden beast` number, since 28 + 1 + 611 + 4 + 6 + 8 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2230861824 + 585252864 = 47232^2 + 24192^2 .

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (2816114681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2653678 + ... + 2654738.

Almost surely, 2^2816114688 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 2816114688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4210689285).

2816114688 is an abundant number, since it is smaller than the sum of its proper divisors (5605263882).

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

2816114688 is an frugal number, since it uses more digits than its factorization.

2816114688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1066 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 2816114688 is about 53067.0772513429. The cubic root of 2816114688 is about 1412.1585047314.

It can be divided in two parts, 28161 and 14688, that added together give a square (42849 = 207²).

The spelling of 2816114688 in words is "two billion, eight hundred sixteen million, one hundred fourteen thousand, six hundred eighty-eight".