808391106432 has 768 divisors, whose sum is σ = 2914518297600. Its totient is φ = 210655531008.

The previous prime is 808391106431. The next prime is 808391106433. The reversal of 808391106432 is 234601193808.

808391106432 is a `hidden beast` number, since 80 + 8 + 39 + 1 + 106 + 432 = 666.

It is an interprime number because it is at equal distance from previous prime (808391106431) and next prime (808391106433).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (808391106431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1824810403 + ... + 1824810845.

It is an arithmetic number, because the mean of its divisors is an integer number (3794945700).

Almost surely, 2^808391106432 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 808391106432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457259148800).

808391106432 is an abundant number, since it is smaller than the sum of its proper divisors (2106127191168).

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

808391106432 is a wasteful number, since it uses less digits than its factorization.

808391106432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 808391106432 in words is "eight hundred eight billion, three hundred ninety-one million, one hundred six thousand, four hundred thirty-two".