248174200313040 has 160 divisors (see below), whose sum is σ = 791895646863360. Its totient is φ = 64261692375552.

The previous prime is 248174200313009. The next prime is 248174200313041. The reversal of 248174200313040 is 40313002471842.

It is a self number, because there is not a number n which added to its sum of digits gives 248174200313040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248174200313041) 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, 85186570 + ... + 88051689.

It is an arithmetic number, because the mean of its divisors is an integer number (4949347792896).

Almost surely, 2^{248174200313040} is an apocalyptic number.

248174200313040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248174200313040 is an abundant number, since it is smaller than the sum of its proper divisors (543721446550320).

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

248174200313040 is a wasteful number, since it uses less digits than its factorization.

248174200313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173238449 (or 173238443 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

Adding to 248174200313040 its reverse (40313002471842), we get a palindrome (288487202784882).

The spelling of 248174200313040 in words is "two hundred forty-eight trillion, one hundred seventy-four billion, two hundred million, three hundred thirteen thousand, forty".