819249455376 has 135 divisors (see below), whose sum is σ = 2520509429893. Its totient is φ = 248221205760.

The previous prime is 819249455317. The next prime is 819249455377. The reversal of 819249455376 is 673554942918.

The square root of 819249455376 is 905124.

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

819249455376 is a `hidden beast` number, since 8 + 1 + 9 + 2 + 4 + 9 + 4 + 553 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5962928400 + 813286526976 = 77220^2 + 901824^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (819249455377) 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, 119472940 + ... + 119479796.

Almost surely, 2^819249455376 is an apocalyptic number.

819249455376 is the 905124-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 819249455376

819249455376 is an abundant number, since it is smaller than the sum of its proper divisors (1701259974517).

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

819249455376 is an equidigital number, since it uses as much as digits as its factorization.

819249455376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13750 (or 6873 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The spelling of 819249455376 in words is "eight hundred nineteen billion, two hundred forty-nine million, four hundred fifty-five thousand, three hundred seventy-six".