248330814384 has 160 divisors (see below), whose sum is σ = 669503577600. Its totient is φ = 79243315200.

The previous prime is 248330814379. The next prime is 248330814463. The reversal of 248330814384 is 483418033842.

248330814384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×248330814384² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 71999092 + ... + 72002540.

It is an arithmetic number, because the mean of its divisors is an integer number (4184397360).

Almost surely, 2^248330814384 is an apocalyptic number.

248330814384 is a gapful number since it is divisible by the number (24) 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 248330814384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334751788800).

248330814384 is an abundant number, since it is smaller than the sum of its proper divisors (421172763216).

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

248330814384 is a wasteful number, since it uses less digits than its factorization.

248330814384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4139 (or 4133 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

The spelling of 248330814384 in words is "two hundred forty-eight billion, three hundred thirty million, eight hundred fourteen thousand, three hundred eighty-four".