819635468344 has 288 divisors, whose sum is σ = 2027664306000. Its totient is φ = 307083571200.

The previous prime is 819635468341. The next prime is 819635468387. The reversal of 819635468344 is 443864536918.

819635468344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×819635468344² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819635468341) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 529137682 + ... + 529139230.

Almost surely, 2^819635468344 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 819635468344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013832153000).

819635468344 is an abundant number, since it is smaller than the sum of its proper divisors (1208028837656).

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

819635468344 is a wasteful number, since it uses less digits than its factorization.

819635468344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735 (or 1683 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 61.

The spelling of 819635468344 in words is "eight hundred nineteen billion, six hundred thirty-five million, four hundred sixty-eight thousand, three hundred forty-four".