816709186048 has 160 divisors (see below), whose sum is σ = 1901240884224. Its totient is φ = 343252242432.

The previous prime is 816709185997. The next prime is 816709186049. The reversal of 816709186048 is 840681907618.

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 816709185983 and 816709186001.

It is not an unprimeable number, because it can be changed into a prime (816709186049) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 54501565 + ... + 54516547.

Almost surely, 2^816709186048 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 816709186048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950620442112).

816709186048 is an abundant number, since it is smaller than the sum of its proper divisors (1084531698176).

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

816709186048 is a wasteful number, since it uses less digits than its factorization.

816709186048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15302 (or 15286 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 58.

The spelling of 816709186048 in words is "eight hundred sixteen billion, seven hundred nine million, one hundred eighty-six thousand, forty-eight".