248064509056 has 256 divisors, whose sum is σ = 624072556800. Its totient is φ = 95611207680.

The previous prime is 248064509009. The next prime is 248064509089. The reversal of 248064509056 is 650905460842.

It is a super-2 number, since 2×248064509056² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77445951 + ... + 77449153.

It is an arithmetic number, because the mean of its divisors is an integer number (2437783425).

Almost surely, 2^248064509056 is an apocalyptic number.

248064509056 is a gapful number since it is divisible by the number (26) 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 248064509056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312036278400).

248064509056 is an abundant number, since it is smaller than the sum of its proper divisors (376008047744).

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

248064509056 is a wasteful number, since it uses less digits than its factorization.

248064509056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3407 (or 3395 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 49.

Adding to 248064509056 its reverse (650905460842), we get a palindrome (898969969898).

The spelling of 248064509056 in words is "two hundred forty-eight billion, sixty-four million, five hundred nine thousand, fifty-six".