11381744218361 has 16 divisors (see below), whose sum is σ = 12727935876096. Its totient is φ = 10087810320000.

The previous prime is 11381744218321. The next prime is 11381744218363. The reversal of 11381744218361 is 16381244718311.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11381744218361 is a prime.

It is a super-3 number, since 3×11381744218361³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11381744218363) 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 15 ways as a sum of consecutive naturals, for example, 7914650 + ... + 9241491.

It is an arithmetic number, because the mean of its divisors is an integer number (795495992256).

Almost surely, 2^{11381744218361} is an apocalyptic number.

11381744218361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11381744218361 is a deficient number, since it is larger than the sum of its proper divisors (1346191657735).

11381744218361 is a wasteful number, since it uses less digits than its factorization.

11381744218361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17157664.

The product of its digits is 774144, while the sum is 50.

It can be divided in two parts, 1138174 and 4218361, that added together give a palindrome (5356535).

The spelling of 11381744218361 in words is "eleven trillion, three hundred eighty-one billion, seven hundred forty-four million, two hundred eighteen thousand, three hundred sixty-one".