248869420800 has 1728 divisors, whose sum is σ = 1152742219776. Its totient is φ = 45578649600.

The previous prime is 248869420783. The next prime is 248869420817. The reversal of 248869420800 is 8024968842.

It is an interprime number because it is at equal distance from previous prime (248869420783) and next prime (248869420817).

It is a super-3 number, since 3×248869420800³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 442041319 + ... + 442041881.

It is an arithmetic number, because the mean of its divisors is an integer number (667096192).

Almost surely, 2^248869420800 is an apocalyptic number.

248869420800 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 248869420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576371109888).

248869420800 is an abundant number, since it is smaller than the sum of its proper divisors (903872798976).

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

248869420800 is a wasteful number, since it uses less digits than its factorization.

248869420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The spelling of 248869420800 in words is "two hundred forty-eight billion, eight hundred sixty-nine million, four hundred twenty thousand, eight hundred".