248069368320 has 80 divisors (see below), whose sum is σ = 793046786400. Its totient is φ = 66151829504.

The previous prime is 248069368319. The next prime is 248069368361. The reversal of 248069368320 is 23863960842.

248069368320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×248069368320² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16142670 + ... + 16158029.

It is an arithmetic number, because the mean of its divisors is an integer number (9913084830).

Almost surely, 2^248069368320 is an apocalyptic number.

248069368320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248069368320 is an abundant number, since it is smaller than the sum of its proper divisors (544977418080).

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

248069368320 is an equidigital number, since it uses as much as digits as its factorization.

248069368320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32300725 (or 32300709 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 248069368320 in words is "two hundred forty-eight billion, sixty-nine million, three hundred sixty-eight thousand, three hundred twenty".