248875531839 has 96 divisors (see below), whose sum is σ = 432947773440. Its totient is φ = 135983232000.

The previous prime is 248875531829. The next prime is 248875531847. The reversal of 248875531839 is 938135578842.

248875531839 is a `hidden beast` number, since 2 + 48 + 8 + 7 + 553 + 1 + 8 + 39 = 666.

It is not a de Polignac number, because 248875531839 - 2⁴ = 248875531823 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248875531829) 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 95 ways as a sum of consecutive naturals, for example, 6178414 + ... + 6218564.

It is an arithmetic number, because the mean of its divisors is an integer number (4509872640).

Almost surely, 2^248875531839 is an apocalyptic number.

248875531839 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

248875531839 is a deficient number, since it is larger than the sum of its proper divisors (184072241601).

248875531839 is a wasteful number, since it uses less digits than its factorization.

248875531839 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40341 (or 40338 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

The spelling of 248875531839 in words is "two hundred forty-eight billion, eight hundred seventy-five million, five hundred thirty-one thousand, eight hundred thirty-nine".