248222609712 has 240 divisors, whose sum is σ = 866473470720. Its totient is φ = 64445068800.

The previous prime is 248222609707. The next prime is 248222609749. The reversal of 248222609712 is 217906222842.

248222609712 is a `hidden beast` number, since 2 + 4 + 8 + 2 + 22 + 609 + 7 + 12 = 666.

It is a super-2 number, since 2×248222609712² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39592114 + ... + 39598382.

It is an arithmetic number, because the mean of its divisors is an integer number (3610306128).

Almost surely, 2^248222609712 is an apocalyptic number.

248222609712 is a gapful number since it is divisible by the number (22) 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 248222609712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433236735360).

248222609712 is an abundant number, since it is smaller than the sum of its proper divisors (618250861008).

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

248222609712 is a wasteful number, since it uses less digits than its factorization.

248222609712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9872 (or 9863 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 248222609712 in words is "two hundred forty-eight billion, two hundred twenty-two million, six hundred nine thousand, seven hundred twelve".