819611073216 has 252 divisors, whose sum is σ = 2591895073248. Its totient is φ = 247428200448.

The previous prime is 819611073091. The next prime is 819611073217. The reversal of 819611073216 is 612370116918.

819611073216 is a `hidden beast` number, since 8 + 1 + 9 + 611 + 0 + 7 + 3 + 21 + 6 = 666.

It is a super-3 number, since 3×819611073216³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (819611073217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5079801 + ... + 5238663.

Almost surely, 2^819611073216 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 819611073216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295947536624).

819611073216 is an abundant number, since it is smaller than the sum of its proper divisors (1772284000032).

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

819611073216 is a wasteful number, since it uses less digits than its factorization.

819611073216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158960 (or 158934 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 819611073216 in words is "eight hundred nineteen billion, six hundred eleven million, seventy-three thousand, two hundred sixteen".