248123717273600 has 2304 divisors, whose sum is σ = 820734644620800. Its totient is φ = 72343942594560.

The previous prime is 248123717273569. The next prime is 248123717273629. The reversal of 248123717273600 is 6372717321842.

It is a super-3 number, since 3×248123717273600³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (53).

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, 227011634654 + ... + 227011635746.

It is an arithmetic number, because the mean of its divisors is an integer number (356221633950).

Almost surely, 2^{248123717273600} is an apocalyptic number.

248123717273600 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 248123717273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410367322310400).

248123717273600 is an abundant number, since it is smaller than the sum of its proper divisors (572610927347200).

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

248123717273600 is a wasteful number, since it uses less digits than its factorization.

248123717273600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 53.

The spelling of 248123717273600 in words is "two hundred forty-eight trillion, one hundred twenty-three billion, seven hundred seventeen million, two hundred seventy-three thousand, six hundred".