811138468 has 48 divisors (see below), whose sum is σ = 1687795200. Its totient is φ = 333728640.

The previous prime is 811138463. The next prime is 811138483. The reversal of 811138468 is 864831118.

811138468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×811138468² = 1315891228538774048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 811138468.

It is not an unprimeable number, because it can be changed into a prime (811138463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144213 + ... + 149731.

It is an arithmetic number, because the mean of its divisors is an integer number (35162400).

Almost surely, 2^811138468 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 811138468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843897600).

811138468 is an abundant number, since it is smaller than the sum of its proper divisors (876656732).

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

811138468 is a wasteful number, since it uses less digits than its factorization.

811138468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5740 (or 5738 counting only the distinct ones).

The product of its digits is 36864, while the sum is 40.

The square root of 811138468 is about 28480.4927625910. The cubic root of 811138468 is about 932.6062738527.

The spelling of 811138468 in words is "eight hundred eleven million, one hundred thirty-eight thousand, four hundred sixty-eight".