819348197668 has 384 divisors, whose sum is σ = 2095168674816. Its totient is φ = 271959367680.

The previous prime is 819348197639. The next prime is 819348197677. The reversal of 819348197668 is 866791843918.

819348197668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 819348197597 and 819348197606.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 436519146 + ... + 436521022.

It is an arithmetic number, because the mean of its divisors is an integer number (5456168424).

Almost surely, 2^819348197668 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 819348197668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047584337408).

819348197668 is an abundant number, since it is smaller than the sum of its proper divisors (1275820477148).

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

819348197668 is a wasteful number, since it uses less digits than its factorization.

819348197668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2004 (or 1980 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 70.

The spelling of 819348197668 in words is "eight hundred nineteen billion, three hundred forty-eight million, one hundred ninety-seven thousand, six hundred sixty-eight".