248281800000 has 672 divisors, whose sum is σ = 894498998400. Its totient is φ = 60410880000.

The previous prime is 248281799999. The next prime is 248281800017. The reversal of 248281800000 is 8182842.

It is a super-2 number, since 2×248281800000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1084199886 + ... + 1084200114.

It is an arithmetic number, because the mean of its divisors is an integer number (1331099700).

Almost surely, 2^248281800000 is an apocalyptic number.

248281800000 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 248281800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447249499200).

248281800000 is an abundant number, since it is smaller than the sum of its proper divisors (646217198400).

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

248281800000 is a wasteful number, since it uses less digits than its factorization.

248281800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

Adding to 248281800000 its reverse (8182842), we get a palindrome (248289982842).

The spelling of 248281800000 in words is "two hundred forty-eight billion, two hundred eighty-one million, eight hundred thousand".