11195441629681 has 9 divisors (see below), whose sum is σ = 11462002902219. Its totient is φ = 10934941991736.

The previous prime is 11195441629679. The next prime is 11195441629693. The reversal of 11195441629681 is 18692614459111.

The square root of 11195441629681 is 3345959.

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., 10893069216225 + 302372413456 = 3300465^2 + 549884^2 .

It is not a de Polignac number, because 11195441629681 - 2¹ = 11195441629679 is a prime.

It is a super-2 number, since 2×11195441629681² (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 (11195441629181) 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, 143837331 + ... + 143915143.

Almost surely, 2^{11195441629681} is an apocalyptic number.

11195441629681 is the 3345959-th square number.

11195441629681 is the 1672980-th centered octagonal number.

It is an amenable number.

11195441629681 is a deficient number, since it is larger than the sum of its proper divisors (266561272538).

11195441629681 is an frugal number, since it uses more digits than its factorization.

11195441629681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155712 (or 77856 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 58.

The spelling of 11195441629681 in words is "eleven trillion, one hundred ninety-five billion, four hundred forty-one million, six hundred twenty-nine thousand, six hundred eighty-one".