248431824121 has 32 divisors (see below), whose sum is σ = 284567381280. Its totient is φ = 215598845952.

The previous prime is 248431824119. The next prime is 248431824139. The reversal of 248431824121 is 121428134842.

It can be written as a sum of positive squares in 16 ways, for example, as 15563810025 + 232868014096 = 124755^2 + 482564^2 .

It is not a de Polignac number, because 248431824121 - 2¹ = 248431824119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (248431824101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87690721 + ... + 87693553.

It is an arithmetic number, because the mean of its divisors is an integer number (8892730665).

Almost surely, 2^248431824121 is an apocalyptic number.

It is an amenable number.

248431824121 is a deficient number, since it is larger than the sum of its proper divisors (36135557159).

248431824121 is a wasteful number, since it uses less digits than its factorization.

248431824121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4270 (or 4236 counting only the distinct ones).

The product of its digits is 98304, while the sum is 40.

Adding to 248431824121 its reverse (121428134842), we get a palindrome (369859958963).

The spelling of 248431824121 in words is "two hundred forty-eight billion, four hundred thirty-one million, eight hundred twenty-four thousand, one hundred twenty-one".