819835405648 has 80 divisors (see below), whose sum is σ = 1875184869376. Its totient is φ = 339792485760.

The previous prime is 819835405643. The next prime is 819835405657. The reversal of 819835405648 is 846504538918.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819835405643) 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 15 ways as a sum of consecutive naturals, for example, 5069365 + ... + 5228587.

Almost surely, 2^819835405648 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 819835405648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937592434688).

819835405648 is an abundant number, since it is smaller than the sum of its proper divisors (1055349463728).

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

819835405648 is a wasteful number, since it uses less digits than its factorization.

819835405648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160752 (or 160746 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 61.

The spelling of 819835405648 in words is "eight hundred nineteen billion, eight hundred thirty-five million, four hundred five thousand, six hundred forty-eight".