806609848128 has 168 divisors, whose sum is σ = 2483148187872. Its totient is φ = 230408027136.

The previous prime is 806609848127. The next prime is 806609848133. The reversal of 806609848128 is 821848906608.

806609848128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-3 number, since 3×806609848128³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806609848127) 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, 64974850 + ... + 64987262.

Almost surely, 2^806609848128 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 806609848128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241574093936).

806609848128 is an abundant number, since it is smaller than the sum of its proper divisors (1676538339744).

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

806609848128 is a wasteful number, since it uses less digits than its factorization.

806609848128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19349 (or 19332 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 60.

The spelling of 806609848128 in words is "eight hundred six billion, six hundred nine million, eight hundred forty-eight thousand, one hundred twenty-eight".