248717952000 has 1760 divisors, whose sum is σ = 1112808153600. Its totient is φ = 54013132800.

The previous prime is 248717951969. The next prime is 248717952071. The reversal of 248717952000 is 259717842.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1669247926 + ... + 1669248074.

It is an arithmetic number, because the mean of its divisors is an integer number (632277360).

Almost surely, 2^248717952000 is an apocalyptic number.

248717952000 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 248717952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556404076800).

248717952000 is an abundant number, since it is smaller than the sum of its proper divisors (864090201600).

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

248717952000 is a wasteful number, since it uses less digits than its factorization.

248717952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 248717952000 in words is "two hundred forty-eight billion, seven hundred seventeen million, nine hundred fifty-two thousand".