10640748384256 has 39 divisors (see below), whose sum is σ = 21279316424821. Its totient is φ = 5320269807616.

The previous prime is 10640748384241. The next prime is 10640748384307. The reversal of 10640748384256 is 65248384704601.

The square root of 10640748384256 is 3262016.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1592684384256 + 9048064000000 = 1262016^2 + 3008000^2 .

It is a super-2 number, since 2×10640748384256² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10640748384256.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 208743540 + ... + 208794508.

Almost surely, 2^{10640748384256} is an apocalyptic number.

10640748384256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10640748384256 is the 3262016-th square number.

It is an amenable number.

10640748384256 is a deficient number, since it is larger than the sum of its proper divisors (10638568040565).

10640748384256 is an frugal number, since it uses more digits than its factorization.

10640748384256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101962 (or 50971 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 58.

The spelling of 10640748384256 in words is "ten trillion, six hundred forty billion, seven hundred forty-eight million, three hundred eighty-four thousand, two hundred fifty-six".