248544445842 has 128 divisors (see below), whose sum is σ = 718547742720. Its totient is φ = 61750149120.

The previous prime is 248544445841. The next prime is 248544445843.

248544445842 is a `hidden beast` number, since 2 + 4 + 8 + 54 + 4 + 4 + 4 + 584 + 2 = 666.

248544445842 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (248544445841) and next prime (248544445843).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (248544445841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1203823 + ... + 1395090.

It is an arithmetic number, because the mean of its divisors is an integer number (5613654240).

Almost surely, 2^248544445842 is an apocalyptic number.

248544445842 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

248544445842 is an abundant number, since it is smaller than the sum of its proper divisors (470003296878).

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

248544445842 is a wasteful number, since it uses less digits than its factorization.

248544445842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598965 (or 2598959 counting only the distinct ones).

The product of its digits is 26214400, while the sum is 54.

The spelling of 248544445842 in words is "two hundred forty-eight billion, five hundred forty-four million, four hundred forty-five thousand, eight hundred forty-two".