814384116 has 216 divisors, whose sum is σ = 2731889160. Its totient is φ = 202051584.

The previous prime is 814384111. The next prime is 814384117. The reversal of 814384116 is 611483418.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 231161616 + 583222500 = 15204^2 + 24150^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814384111) 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 71 ways as a sum of consecutive naturals, for example, 388800 + ... + 390888.

It is an arithmetic number, because the mean of its divisors is an integer number (12647635).

Almost surely, 2^814384116 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 814384116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365944580).

814384116 is an abundant number, since it is smaller than the sum of its proper divisors (1917505044).

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

814384116 is a wasteful number, since it uses less digits than its factorization.

814384116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143 (or 2131 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 814384116 is about 28537.4160708358. The cubic root of 814384116 is about 933.8485128022.

The spelling of 814384116 in words is "eight hundred fourteen million, three hundred eighty-four thousand, one hundred sixteen".