816432410347776 has 288 divisors, whose sum is σ = 2433759673968000. Its totient is φ = 269961939320832.

The previous prime is 816432410347711. The next prime is 816432410347781. The reversal of 816432410347776 is 677743014234618.

816432410347776 is a `hidden beast` number, since 8 + 1 + 6 + 43 + 241 + 0 + 347 + 7 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×816432410347776² (a number of 31 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 505227736 + ... + 506841128.

It is an arithmetic number, because the mean of its divisors is an integer number (8450554423500).

Almost surely, 2^{816432410347776} 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 816432410347776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216879836984000).

816432410347776 is an abundant number, since it is smaller than the sum of its proper divisors (1617327263620224).

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

816432410347776 is a wasteful number, since it uses less digits than its factorization.

816432410347776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614006 (or 1613986 counting only the distinct ones).

The product of its (nonzero) digits is 113799168, while the sum is 63.

The spelling of 816432410347776 in words is "eight hundred sixteen trillion, four hundred thirty-two billion, four hundred ten million, three hundred forty-seven thousand, seven hundred seventy-six".