482314971121 has 27 divisors (see below), whose sum is σ = 500274856011. Its totient is φ = 464996498928.

The previous prime is 482314971119. The next prime is 482314971133. The reversal of 482314971121 is 121179413284.

The square root of 482314971121 is 694489.

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

It can be written as a sum of positive squares in only one way, i.e., 56506519521 + 425808451600 = 237711^2 + 652540^2 .

It is not a de Polignac number, because 482314971121 - 2¹ = 482314971119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (482314971221) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3237013155 + ... + 3237013303.

Almost surely, 2^482314971121 is an apocalyptic number.

482314971121 is the 694489-th square number.

482314971121 is the 347245-th centered octagonal number.

It is an amenable number.

482314971121 is a deficient number, since it is larger than the sum of its proper divisors (17959884890).

482314971121 is an frugal number, since it uses more digits than its factorization.

482314971121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 287 counting only the distinct ones).

The product of its digits is 96768, while the sum is 43.

The spelling of 482314971121 in words is "four hundred eighty-two billion, three hundred fourteen million, nine hundred seventy-one thousand, one hundred twenty-one".