816412494336 has 160 divisors (see below), whose sum is σ = 2214841812480. Its totient is φ = 267161726976.

The previous prime is 816412494281. The next prime is 816412494353. The reversal of 816412494336 is 633494214618.

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 15 ways as a sum of consecutive naturals, for example, 71315365 + ... + 71326811.

It is an arithmetic number, because the mean of its divisors is an integer number (13842761328).

Almost surely, 2^816412494336 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 816412494336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107420906240).

816412494336 is an abundant number, since it is smaller than the sum of its proper divisors (1398429318144).

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

816412494336 is a wasteful number, since it uses less digits than its factorization.

816412494336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12314 (or 12298 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 51.

It can be divided in two parts, 8164 and 12494336, that added together give a triangular number (12502500 = T₅₀₀₀).

The spelling of 816412494336 in words is "eight hundred sixteen billion, four hundred twelve million, four hundred ninety-four thousand, three hundred thirty-six".