248806416960 has 224 divisors, whose sum is σ = 888572467200. Its totient is φ = 66348191232.

The previous prime is 248806416959. The next prime is 248806416977. The reversal of 248806416960 is 69614608842.

248806416960 is a `hidden beast` number, since 2 + 488 + 0 + 6 + 41 + 69 + 60 = 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 = 248806416897 and 248806416906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 522081 + ... + 877599.

Almost surely, 2^248806416960 is an apocalyptic number.

248806416960 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 248806416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444286233600).

248806416960 is an abundant number, since it is smaller than the sum of its proper divisors (639766050240).

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

248806416960 is an frugal number, since it uses more digits than its factorization.

248806416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355557 (or 355529 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 248806416960 in words is "two hundred forty-eight billion, eight hundred six million, four hundred sixteen thousand, nine hundred sixty".