814113168 has 60 divisors (see below), whose sum is σ = 2311716624. Its totient is φ = 246699200.

The previous prime is 814113127. The next prime is 814113191. The reversal of 814113168 is 861311418.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

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

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, 64278 + ... + 75893.

Almost surely, 2^814113168 is an apocalyptic number.

814113168 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

814113168 is an abundant number, since it is smaller than the sum of its proper divisors (1497603456).

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

814113168 is a wasteful number, since it uses less digits than its factorization.

814113168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140204 (or 140187 counting only the distinct ones).

The product of its digits is 4608, while the sum is 33.

The square root of 814113168 is about 28532.6684346207. The cubic root of 814113168 is about 933.7449365954.

The spelling of 814113168 in words is "eight hundred fourteen million, one hundred thirteen thousand, one hundred sixty-eight".