455395429280016 has 135 divisors (see below), whose sum is σ = 1295754691695087. Its totient is φ = 149304855214080.

The previous prime is 455395429279969. The next prime is 455395429280027. The reversal of 455395429280016 is 610082924593554.

The square root of 455395429280016 is 21339996.

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

455395429280016 is a `hidden beast` number, since 4 + 5 + 5 + 3 + 9 + 542 + 9 + 2 + 80 + 0 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 414162386960400 + 41233042319616 = 20350980^2 + 6421296^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15620862496 + ... + 15620891648.

Almost surely, 2^{455395429280016} is an apocalyptic number.

455395429280016 is the 21339996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455395429280016

455395429280016 is an abundant number, since it is smaller than the sum of its proper divisors (840359262415071).

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

455395429280016 is an frugal number, since it uses more digits than its factorization.

455395429280016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58442 (or 29219 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 63.

The spelling of 455395429280016 in words is "four hundred fifty-five trillion, three hundred ninety-five billion, four hundred twenty-nine million, two hundred eighty thousand, sixteen".