248296896823760 has 160 divisors (see below), whose sum is σ = 601861890516480. Its totient is φ = 95145150464000.

The previous prime is 248296896823747. The next prime is 248296896823831. The reversal of 248296896823760 is 67328698692842.

It is a Harshad number since it is a multiple of its sum of digits (80).

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 31 ways as a sum of consecutive naturals, for example, 1793970560 + ... + 1794108960.

It is an arithmetic number, because the mean of its divisors is an integer number (3761636815728).

Almost surely, 2^{248296896823760} is an apocalyptic number.

248296896823760 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 248296896823760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300930945258240).

248296896823760 is an abundant number, since it is smaller than the sum of its proper divisors (353564993692720).

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

248296896823760 is a wasteful number, since it uses less digits than its factorization.

248296896823760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144477 (or 144471 counting only the distinct ones).

The product of its (nonzero) digits is 6019743744, while the sum is 80.

The spelling of 248296896823760 in words is "two hundred forty-eight trillion, two hundred ninety-six billion, eight hundred ninety-six million, eight hundred twenty-three thousand, seven hundred sixty".