248463845280 has 1152 divisors, whose sum is σ = 1051017327360. Its totient is φ = 55306395648.

The previous prime is 248463845213. The next prime is 248463845297. The reversal of 248463845280 is 82548364842.

248463845280 is a `hidden beast` number, since 2 + 4 + 84 + 6 + 38 + 4 + 528 + 0 = 666.

It is a super-2 number, since 2×248463845280² (a number of 24 digits) contains 22 as substring.

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

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, 737281272 + ... + 737281608.

It is an arithmetic number, because the mean of its divisors is an integer number (912341430).

Almost surely, 2^248463845280 is an apocalyptic number.

248463845280 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 248463845280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525508663680).

248463845280 is an abundant number, since it is smaller than the sum of its proper divisors (802553482080).

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

248463845280 is an equidigital number, since it uses as much as digits as its factorization.

248463845280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 248463845280 in words is "two hundred forty-eight billion, four hundred sixty-three million, eight hundred forty-five thousand, two hundred eighty".