248843228900 has 72 divisors (see below), whose sum is σ = 618162518400. Its totient is φ = 85175101440.

The previous prime is 248843228873. The next prime is 248843228903. The reversal of 248843228900 is 9822348842.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is not an unprimeable number, because it can be changed into a prime (248843228903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122564 + ... + 716036.

Almost surely, 2^248843228900 is an apocalyptic number.

248843228900 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 248843228900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309081259200).

248843228900 is an abundant number, since it is smaller than the sum of its proper divisors (369319289500).

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

248843228900 is a wasteful number, since it uses less digits than its factorization.

248843228900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594093 (or 594086 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 50.

The spelling of 248843228900 in words is "two hundred forty-eight billion, eight hundred forty-three million, two hundred twenty-eight thousand, nine hundred".