248114272000 has 288 divisors, whose sum is σ = 707725025280. Its totient is φ = 84906086400.

The previous prime is 248114271997. The next prime is 248114272039. The reversal of 248114272000 is 272411842.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228255457 + ... + 228256543.

It is an arithmetic number, because the mean of its divisors is an integer number (2457378560).

Almost surely, 2^248114272000 is an apocalyptic number.

248114272000 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 248114272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353862512640).

248114272000 is an abundant number, since it is smaller than the sum of its proper divisors (459610753280).

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

248114272000 is a wasteful number, since it uses less digits than its factorization.

248114272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

Adding to 248114272000 its reverse (272411842), we get a palindrome (248386683842).

The spelling of 248114272000 in words is "two hundred forty-eight billion, one hundred fourteen million, two hundred seventy-two thousand".