816253682985 has 48 divisors (see below), whose sum is σ = 1524964987728. Its totient is φ = 401507366400.

The previous prime is 816253682947. The next prime is 816253683019. The reversal of 816253682985 is 589286352618.

816253682985 is a `hidden beast` number, since 8 + 1 + 6 + 2 + 536 + 8 + 2 + 98 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10131630336 + 806122052649 = 100656^2 + 897843^2 .

It is not a de Polignac number, because 816253682985 - 2⁶ = 816253682921 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100155 + ... + 1281615.

It is an arithmetic number, because the mean of its divisors is an integer number (31770103911).

Almost surely, 2^816253682985 is an apocalyptic number.

It is an amenable number.

816253682985 is a deficient number, since it is larger than the sum of its proper divisors (708711304743).

816253682985 is a wasteful number, since it uses less digits than its factorization.

816253682985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182666 (or 1182663 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 63.

The spelling of 816253682985 in words is "eight hundred sixteen billion, two hundred fifty-three million, six hundred eighty-two thousand, nine hundred eighty-five".