11200795804081 has 9 divisors (see below), whose sum is σ = 12128719491819. Its totient is φ = 10339155965736.

The previous prime is 11200795804073. The next prime is 11200795804127. The reversal of 11200795804081 is 18040859700211.

The square root of 11200795804081 is 3346759.

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

11200795804081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1656922456225 + 9543873347856 = 1287215^2 + 3089316^2 .

It is not a de Polignac number, because 11200795804081 - 2³ = 11200795804073 is a prime.

It is a super-2 number, since 2×11200795804081² (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 (11200795804181) 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, 43379146 + ... + 43636588.

It is an arithmetic number, because the mean of its divisors is an integer number (1347635499091).

Almost surely, 2^{11200795804081} is an apocalyptic number.

11200795804081 is the 3346759-th square number.

11200795804081 is the 1673380-th centered octagonal number.

It is an amenable number.

11200795804081 is a deficient number, since it is larger than the sum of its proper divisors (927923687738).

11200795804081 is an frugal number, since it uses more digits than its factorization.

11200795804081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514912 (or 257456 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 46.

The spelling of 11200795804081 in words is "eleven trillion, two hundred billion, seven hundred ninety-five million, eight hundred four thousand, eighty-one".