248095344120 has 256 divisors, whose sum is σ = 811156913280. Its totient is φ = 60338995200.

The previous prime is 248095344043. The next prime is 248095344131. The reversal of 248095344120 is 21443590842.

It is a happy number.

248095344120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133311990 + ... + 133313850.

Almost surely, 2^248095344120 is an apocalyptic number.

248095344120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248095344120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405578456640).

248095344120 is an abundant number, since it is smaller than the sum of its proper divisors (563061569160).

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

248095344120 is a wasteful number, since it uses less digits than its factorization.

248095344120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2866 (or 2862 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 248095344120 in words is "two hundred forty-eight billion, ninety-five million, three hundred forty-four thousand, one hundred twenty".