816888404268 has 72 divisors (see below), whose sum is σ = 2143062911808. Its totient is φ = 272083485456.

The previous prime is 816888404263. The next prime is 816888404291. The reversal of 816888404268 is 862404888618.

816888404268 is a `hidden beast` number, since 8 + 168 + 8 + 8 + 40 + 426 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (816888404263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 919555 + ... + 1574597.

It is an arithmetic number, because the mean of its divisors is an integer number (29764762664).

Almost surely, 2^816888404268 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 816888404268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071531455904).

816888404268 is an abundant number, since it is smaller than the sum of its proper divisors (1326174507540).

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

816888404268 is a wasteful number, since it uses less digits than its factorization.

816888404268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656345 (or 656331 counting only the distinct ones).

The product of its (nonzero) digits is 37748736, while the sum is 63.

The spelling of 816888404268 in words is "eight hundred sixteen billion, eight hundred eighty-eight million, four hundred four thousand, two hundred sixty-eight".