248348680560 has 960 divisors, whose sum is σ = 954327490560. Its totient is φ = 59177226240.

The previous prime is 248348680507. The next prime is 248348680571. The reversal of 248348680560 is 65086843842.

248348680560 is a `hidden beast` number, since 2 + 4 + 83 + 486 + 80 + 5 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 248348680497 and 248348680506.

It is a congruent number.

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, 3402036684 + ... + 3402036756.

It is an arithmetic number, because the mean of its divisors is an integer number (994091136).

Almost surely, 2^248348680560 is an apocalyptic number.

248348680560 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 248348680560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477163745280).

248348680560 is an abundant number, since it is smaller than the sum of its proper divisors (705978810000).

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

248348680560 is a wasteful number, since it uses less digits than its factorization.

248348680560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 248348680560 in words is "two hundred forty-eight billion, three hundred forty-eight million, six hundred eighty thousand, five hundred sixty".