11493408577249 has 9 divisors (see below), whose sum is σ = 11653260222969. Its totient is φ = 11335720530240.

The previous prime is 11493408577219. The next prime is 11493408577283. The reversal of 11493408577249 is 94277580439411.

The square root of 11493408577249 is 3390193.

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 1192081830625 + 10301326746624 = 1091825^2 + 3209568^2 .

It is not a de Polignac number, because 11493408577249 - 2¹⁵ = 11493408544481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11493408577219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 247460869 + ... + 247507309.

It is an arithmetic number, because the mean of its divisors is an integer number (1294806691441).

Almost surely, 2^{11493408577249} is an apocalyptic number.

11493408577249 is the 3390193-rd square number.

11493408577249 is the 1695097-th centered octagonal number.

It is an amenable number.

11493408577249 is a deficient number, since it is larger than the sum of its proper divisors (159851645720).

11493408577249 is an frugal number, since it uses more digits than its factorization.

11493408577249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93028 (or 46514 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 64.

Multiplying 11493408577249 by its sum of digits (64), we get a square (735578148943936 = 27121544²).

The spelling of 11493408577249 in words is "eleven trillion, four hundred ninety-three billion, four hundred eight million, five hundred seventy-seven thousand, two hundred forty-nine".