248588006849280 has 864 divisors, whose sum is σ = 1052247281799168. Its totient is φ = 54987193958400.

The previous prime is 248588006849183. The next prime is 248588006849387. The reversal of 248588006849280 is 82948600885842.

248588006849280 is a `hidden beast` number, since 2 + 4 + 8 + 58 + 8 + 0 + 0 + 6 + 8 + 492 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 248588006849199 and 248588006849208.

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, 65654170 + ... + 69337190.

Almost surely, 2^{248588006849280} is an apocalyptic number.

248588006849280 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 248588006849280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526123640899584).

248588006849280 is an abundant number, since it is smaller than the sum of its proper divisors (803659274949888).

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

248588006849280 is an equidigital number, since it uses as much as digits as its factorization.

248588006849280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3683095 (or 3683069 counting only the distinct ones).

The product of its (nonzero) digits is 566231040, while the sum is 72.

The spelling of 248588006849280 in words is "two hundred forty-eight trillion, five hundred eighty-eight billion, six million, eight hundred forty-nine thousand, two hundred eighty".