816434452080 has 1120 divisors, whose sum is σ = 3255793074240. Its totient is φ = 189178509312.

The previous prime is 816434452073. The next prime is 816434452081. The reversal of 816434452080 is 80254434618.

816434452080 is a `hidden beast` number, since 8 + 1 + 6 + 4 + 3 + 44 + 520 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816434452081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 5200219362 + ... + 5200219518.

It is an arithmetic number, because the mean of its divisors is an integer number (2906958102).

Almost surely, 2^816434452080 is an apocalyptic number.

816434452080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816434452080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627896537120).

816434452080 is an abundant number, since it is smaller than the sum of its proper divisors (2439358622160).

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

816434452080 is a wasteful number, since it uses less digits than its factorization.

816434452080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

Adding to 816434452080 its reverse (80254434618), we get a palindrome (896688886698).

The spelling of 816434452080 in words is "eight hundred sixteen billion, four hundred thirty-four million, four hundred fifty-two thousand, eighty".