10682824234681 has 9 divisors (see below), whose sum is σ = 10701614874223. Its totient is φ = 10664066548480.

The previous prime is 10682824234669. The next prime is 10682824234699. The reversal of 10682824234681 is 18643242828601.

It is a happy number.

The square root of 10682824234681 is 3268459.

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., 9642832194681 + 1039992040000 = 3105291^2 + 1019800^2 .

It is not a de Polignac number, because 10682824234681 - 2⁹ = 10682824234169 is a prime.

It is a super-2 number, since 2×10682824234681² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10682824234661) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2095079670 + ... + 2095084768.

Almost surely, 2^{10682824234681} is an apocalyptic number.

10682824234681 is the 3268459-th square number.

10682824234681 is the 1634230-th centered octagonal number.

It is an amenable number.

10682824234681 is a deficient number, since it is larger than the sum of its proper divisors (18790639542).

10682824234681 is an frugal number, since it uses more digits than its factorization.

10682824234681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11480 (or 5740 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 55.

The spelling of 10682824234681 in words is "ten trillion, six hundred eighty-two billion, eight hundred twenty-four million, two hundred thirty-four thousand, six hundred eighty-one".