819923006016 has 189 divisors, whose sum is σ = 2435868085963. Its totient is φ = 263680435200.

The previous prime is 819923006011. The next prime is 819923006029. The reversal of 819923006016 is 610600329918.

It is a happy number.

The square root of 819923006016 is 905496.

It is a perfect power (a square), and thus also a powerful number.

819923006016 is a `hidden beast` number, since 8 + 1 + 9 + 9 + 2 + 30 + 0 + 601 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 357958103616 + 461964902400 = 598296^2 + 679680^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (819923006011) 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 26 ways as a sum of consecutive naturals, for example, 630224566 + ... + 630225866.

Almost surely, 2^819923006016 is an apocalyptic number.

819923006016 is the 905496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 819923006016

819923006016 is an abundant number, since it is smaller than the sum of its proper divisors (1615945079947).

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

819923006016 is an equidigital number, since it uses as much as digits as its factorization.

819923006016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2678 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 819923006016 in words is "eight hundred nineteen billion, nine hundred twenty-three million, six thousand, sixteen".