10447645117728 has 288 divisors, whose sum is σ = 34155624295296. Its totient is φ = 2737867751424.

The previous prime is 10447645117711. The next prime is 10447645117733. The reversal of 10447645117728 is 82771154674401.

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 47 ways as a sum of consecutive naturals, for example, 17537200 + ... + 18123152.

It is an arithmetic number, because the mean of its divisors is an integer number (118595917692).

Almost surely, 2^{10447645117728} 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 10447645117728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17077812147648).

10447645117728 is an abundant number, since it is smaller than the sum of its proper divisors (23707979177568).

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

10447645117728 is a wasteful number, since it uses less digits than its factorization.

10447645117728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586156 (or 586135 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 57.

The spelling of 10447645117728 in words is "ten trillion, four hundred forty-seven billion, six hundred forty-five million, one hundred seventeen thousand, seven hundred twenty-eight".