11491198277689 has 27 divisors (see below), whose sum is σ = 12565665847917. Its totient is φ = 10503814767264.

The previous prime is 11491198277633. The next prime is 11491198277723. The reversal of 11491198277689 is 98677289119411.

The square root of 11491198277689 is 3389867.

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

It can be written as a sum of positive squares in 4 ways, for example, as 260388740089 + 11230809537600 = 510283^2 + 3351240^2 .

It is not a de Polignac number, because 11491198277689 - 2²¹ = 11491196180537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11491198277389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4715303779 + ... + 4715306215.

Almost surely, 2^{11491198277689} is an apocalyptic number.

11491198277689 is the 3389867-th square number.

11491198277689 is the 1694934-th centered octagonal number.

It is an amenable number.

11491198277689 is a deficient number, since it is larger than the sum of its proper divisors (1074467570228).

11491198277689 is an frugal number, since it uses more digits than its factorization.

11491198277689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5114 (or 2557 counting only the distinct ones).

The product of its digits is 109734912, while the sum is 73.

The spelling of 11491198277689 in words is "eleven trillion, four hundred ninety-one billion, one hundred ninety-eight million, two hundred seventy-seven thousand, six hundred eighty-nine".