814113144 has 48 divisors (see below), whose sum is σ = 2374499400. Its totient is φ = 250496064.

The previous prime is 814113127. The next prime is 814113191. The reversal of 814113144 is 441311418.

It is a super-2 number, since 2×814113144² = 1325560422467129472, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 433954 + ... + 435825.

Almost surely, 2^814113144 is an apocalyptic number.

It is an amenable number.

814113144 is an abundant number, since it is smaller than the sum of its proper divisors (1560386256).

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

814113144 is a wasteful number, since it uses less digits than its factorization.

814113144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869804 (or 869797 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 814113144 is about 28532.6680140501. The cubic root of 814113144 is about 933.7449274199.

The spelling of 814113144 in words is "eight hundred fourteen million, one hundred thirteen thousand, one hundred forty-four".