816286344192 has 1056 divisors, whose sum is σ = 2906636503680. Its totient is φ = 217432719360.

The previous prime is 816286344119. The next prime is 816286344199. The reversal of 816286344192 is 291443682618.

816286344192 is a `hidden beast` number, since 8 + 1 + 6 + 286 + 344 + 19 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (816286344199) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3176211328 + ... + 3176211584.

Almost surely, 2^816286344192 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 816286344192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453318251840).

816286344192 is an abundant number, since it is smaller than the sum of its proper divisors (2090350159488).

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

816286344192 is a wasteful number, since it uses less digits than its factorization.

816286344192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 406 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 816286344192 in words is "eight hundred sixteen billion, two hundred eighty-six million, three hundred forty-four thousand, one hundred ninety-two".