814884116 has 36 divisors (see below), whose sum is σ = 1478593116. Its totient is φ = 392820480.

The previous prime is 814884113. The next prime is 814884139. The reversal of 814884116 is 611488418.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 29203216 + 785680900 = 5404^2 + 28030^2 .

It is a super-3 number, since 3×814884116³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814884113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 788336 + ... + 789368.

It is an arithmetic number, because the mean of its divisors is an integer number (41072031).

Almost surely, 2^814884116 is an apocalyptic number.

It is an amenable number.

814884116 is a deficient number, since it is larger than the sum of its proper divisors (663709000).

814884116 is a wasteful number, since it uses less digits than its factorization.

814884116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1149 counting only the distinct ones).

The product of its digits is 49152, while the sum is 41.

The square root of 814884116 is about 28546.1751553514. The cubic root of 814884116 is about 934.0395891923.

The spelling of 814884116 in words is "eight hundred fourteen million, eight hundred eighty-four thousand, one hundred sixteen".