248856395424 has 96 divisors (see below), whose sum is σ = 803997613440. Its totient is φ = 65632453632.

The previous prime is 248856395423. The next prime is 248856395443. The reversal of 248856395424 is 424593658842.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (248856395423) 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 15 ways as a sum of consecutive naturals, for example, 14234419 + ... + 14251890.

It is an arithmetic number, because the mean of its divisors is an integer number (8374975140).

Almost surely, 2^248856395424 is an apocalyptic number.

248856395424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

248856395424 is an abundant number, since it is smaller than the sum of its proper divisors (555141218016).

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

248856395424 is a wasteful number, since it uses less digits than its factorization.

248856395424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28486342 (or 28486334 counting only the distinct ones).

The product of its digits is 66355200, while the sum is 60.

The spelling of 248856395424 in words is "two hundred forty-eight billion, eight hundred fifty-six million, three hundred ninety-five thousand, four hundred twenty-four".