452116380816 has 135 divisors (see below), whose sum is σ = 1277725096011. Its totient is φ = 149239636992.

The previous prime is 452116380809. The next prime is 452116380851. The reversal of 452116380816 is 618083611254.

The square root of 452116380816 is 672396.

It is a perfect power (a square), and thus also a powerful number.

452116380816 is a `hidden beast` number, since 4 + 5 + 2 + 1 + 1 + 638 + 0 + 8 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 133912083600 + 318204297216 = 365940^2 + 564096^2 .

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 26 ways as a sum of consecutive naturals, for example, 1105418820 + ... + 1105419228.

Almost surely, 2^452116380816 is an apocalyptic number.

452116380816 is the 672396-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452116380816

452116380816 is an abundant number, since it is smaller than the sum of its proper divisors (825608715195).

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

452116380816 is an equidigital number, since it uses as much as digits as its factorization.

452116380816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 452116380816 in words is "four hundred fifty-two billion, one hundred sixteen million, three hundred eighty thousand, eight hundred sixteen".