10781648065764 has 135 divisors (see below), whose sum is σ = 29749972049721. Its totient is φ = 3404376345600.

The previous prime is 10781648065757. The next prime is 10781648065777. The reversal of 10781648065764 is 46756084618701.

The square root of 10781648065764 is 3283542.

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

10781648065764 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 16 + 48 + 0 + 6 + 576 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8349545435364 + 2432102630400 = 2889558^2 + 1559520^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1122966564 + ... + 1122976164.

Almost surely, 2^{10781648065764} is an apocalyptic number.

10781648065764 is the 3283542-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10781648065764

10781648065764 is an abundant number, since it is smaller than the sum of its proper divisors (18968323983957).

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

10781648065764 is an frugal number, since it uses more digits than its factorization.

10781648065764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19256 (or 9625 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 10781648065764 in words is "ten trillion, seven hundred eighty-one billion, six hundred forty-eight million, sixty-five thousand, seven hundred sixty-four".