1248568009728 has 704 divisors, whose sum is σ = 3810642796800. Its totient is φ = 360873197568.

The previous prime is 1248568009673. The next prime is 1248568009739. The reversal of 1248568009728 is 8279008658421.

It is a super-2 number, since 2×1248568009728² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8379650998 + ... + 8379651146.

Almost surely, 2^{1248568009728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1248568009728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905321398400).

1248568009728 is an abundant number, since it is smaller than the sum of its proper divisors (2562074787072).

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

1248568009728 is a wasteful number, since it uses less digits than its factorization.

1248568009728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 60.

The spelling of 1248568009728 in words is "one trillion, two hundred forty-eight billion, five hundred sixty-eight million, nine thousand, seven hundred twenty-eight".