248439744000 has 2560 divisors, whose sum is σ = 1176610406400. Its totient is φ = 50363596800.

The previous prime is 248439743999. The next prime is 248439744011. The reversal of 248439744000 is 447934842.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5285951977 + ... + 5285952023.

It is an arithmetic number, because the mean of its divisors is an integer number (459613440).

Almost surely, 2^248439744000 is an apocalyptic number.

248439744000 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 248439744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588305203200).

248439744000 is an abundant number, since it is smaller than the sum of its proper divisors (928170662400).

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

248439744000 is a wasteful number, since it uses less digits than its factorization.

248439744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 248439744000 in words is "two hundred forty-eight billion, four hundred thirty-nine million, seven hundred forty-four thousand".