10864084037041 has 9 divisors (see below), whose sum is σ = 11165769052011. Its totient is φ = 10570341485592.

The previous prime is 10864084037021. The next prime is 10864084037057. The reversal of 10864084037041 is 14073048046801.

The square root of 10864084037041 is 3296071.

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., 9721331589025 + 1142752448016 = 3117905^2 + 1068996^2 .

It is not a de Polignac number, because 10864084037041 - 2⁷ = 10864084036913 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10864084036982 and 10864084037000.

It is not an unprimeable number, because it can be changed into a prime (10864084037021) 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, 121910086 + ... + 121999168.

It is an arithmetic number, because the mean of its divisors is an integer number (1240641005779).

Almost surely, 2^{10864084037041} is an apocalyptic number.

10864084037041 is the 3296071-st square number.

10864084037041 is the 1648036-th centered octagonal number.

It is an amenable number.

10864084037041 is a deficient number, since it is larger than the sum of its proper divisors (301685014970).

10864084037041 is an frugal number, since it uses more digits than its factorization.

10864084037041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178240 (or 89120 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The spelling of 10864084037041 in words is "ten trillion, eight hundred sixty-four billion, eighty-four million, thirty-seven thousand, forty-one".