814135168 has 256 divisors, whose sum is σ = 2210250240. Its totient is φ = 289013760.

The previous prime is 814135111. The next prime is 814135169. The reversal of 814135168 is 861531418.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814135169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7204680 + ... + 7204792.

It is an arithmetic number, because the mean of its divisors is an integer number (8633790).

Almost surely, 2^814135168 is an apocalyptic number.

814135168 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814135168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105125120).

814135168 is an abundant number, since it is smaller than the sum of its proper divisors (1396115072).

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

814135168 is a wasteful number, since it uses less digits than its factorization.

814135168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 193 counting only the distinct ones).

The product of its digits is 23040, while the sum is 37.

The square root of 814135168 is about 28533.0539550186. The cubic root of 814135168 is about 933.7533474669.

The spelling of 814135168 in words is "eight hundred fourteen million, one hundred thirty-five thousand, one hundred sixty-eight".