917072454321 has 27 divisors (see below), whose sum is σ = 1346989351617. Its totient is φ = 601244069760.

The previous prime is 917072454271. The next prime is 917072454323. The reversal of 917072454321 is 123454270719.

The square root of 917072454321 is 957639.

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

917072454321 is a `hidden beast` number, since 9 + 17 + 0 + 72 + 4 + 543 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 143640225 + 916928814096 = 11985^2 + 957564^2 .

It is not a de Polignac number, because 917072454321 - 2²¹ = 917070357169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (917072454323) 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 26 ways as a sum of consecutive naturals, for example, 175245321 + ... + 175250553.

Almost surely, 2^917072454321 is an apocalyptic number.

917072454321 is the 957639-th square number.

917072454321 is the 478820-th centered octagonal number.

It is an amenable number.

917072454321 is a deficient number, since it is larger than the sum of its proper divisors (429916897296).

917072454321 is an frugal number, since it uses more digits than its factorization.

917072454321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10594 (or 5297 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 917072454321 in words is "nine hundred seventeen billion, seventy-two million, four hundred fifty-four thousand, three hundred twenty-one".