472834319121 has 12 divisors (see below), whose sum is σ = 683018011572. Its totient is φ = 315206676576.

The previous prime is 472834319119. The next prime is 472834319123. The reversal of 472834319121 is 121913438274.

472834319121 is a `hidden beast` number, since 47 + 283 + 4 + 319 + 12 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (472834319119) and next prime (472834319123).

It can be written as a sum of positive squares in 2 ways, for example, as 262593728721 + 210240590400 = 512439^2 + 458520^2 .

It is not a de Polignac number, because 472834319121 - 2¹ = 472834319119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (472834319123) 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 11 ways as a sum of consecutive naturals, for example, 1164066 + ... + 1516811.

It is an arithmetic number, because the mean of its divisors is an integer number (56918167631).

Almost surely, 2^472834319121 is an apocalyptic number.

It is an amenable number.

472834319121 is a deficient number, since it is larger than the sum of its proper divisors (210183692451).

472834319121 is a wasteful number, since it uses less digits than its factorization.

472834319121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700480 (or 2700477 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 472834319121 in words is "four hundred seventy-two billion, eight hundred thirty-four million, three hundred nineteen thousand, one hundred twenty-one".