248068000416 has 48 divisors (see below), whose sum is σ = 657625838688. Its totient is φ = 81870624000.

The previous prime is 248068000373. The next prime is 248068000417. The reversal of 248068000416 is 614000860842.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (248068000417) by changing a digit.

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, 12782590 + ... + 12801981.

It is an arithmetic number, because the mean of its divisors is an integer number (13700538306).

Almost surely, 2^248068000416 is an apocalyptic number.

It is an amenable number.

248068000416 is an abundant number, since it is smaller than the sum of its proper divisors (409557838272).

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

248068000416 is a wasteful number, since it uses less digits than its factorization.

248068000416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25584685 (or 25584677 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 248068000416 in words is "two hundred forty-eight billion, sixty-eight million, four hundred sixteen", and thus it is an aban number.