816563134436 has 72 divisors (see below), whose sum is σ = 1674866914560. Its totient is φ = 347309581248.

The previous prime is 816563134421. The next prime is 816563134459. The reversal of 816563134436 is 634431365618.

It is a super-3 number, since 3×816563134436³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128125346 + ... + 128131718.

It is an arithmetic number, because the mean of its divisors is an integer number (23262040480).

Almost surely, 2^816563134436 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 816563134436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837433457280).

816563134436 is an abundant number, since it is smaller than the sum of its proper divisors (858303780124).

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

816563134436 is a wasteful number, since it uses less digits than its factorization.

816563134436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11233 (or 11224 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 50.

The spelling of 816563134436 in words is "eight hundred sixteen billion, five hundred sixty-three million, one hundred thirty-four thousand, four hundred thirty-six".