248431824120 has 64 divisors (see below), whose sum is σ = 745390213920. Its totient is φ = 66240065024.

The previous prime is 248431824119. The next prime is 248431824139. The reversal of 248431824120 is 21428134842.

It is a super-3 number, since 3×248431824120³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 846514 + ... + 1101566.

Almost surely, 2^248431824120 is an apocalyptic number.

248431824120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248431824120 is an abundant number, since it is smaller than the sum of its proper divisors (496958389800).

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

248431824120 is a wasteful number, since it uses less digits than its factorization.

248431824120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263184 (or 263180 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

Adding to 248431824120 its reverse (21428134842), we get a palindrome (269859958962).

The spelling of 248431824120 in words is "two hundred forty-eight billion, four hundred thirty-one million, eight hundred twenty-four thousand, one hundred twenty".