816857244450 has 432 divisors, whose sum is σ = 2509333595496. Its totient is φ = 189348710400.

The previous prime is 816857244449. The next prime is 816857244473. The reversal of 816857244450 is 54442758618.

816857244450 is a `hidden beast` number, since 8 + 1 + 6 + 85 + 72 + 44 + 450 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 237899087001 + 578958157449 = 487749^2 + 760893^2 .

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 382243782 + ... + 382245918.

Almost surely, 2^816857244450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816857244450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254666797748).

816857244450 is an abundant number, since it is smaller than the sum of its proper divisors (1692476351046).

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

816857244450 is a wasteful number, since it uses less digits than its factorization.

816857244450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 816857244450 in words is "eight hundred sixteen billion, eight hundred fifty-seven million, two hundred forty-four thousand, four hundred fifty".