1141311456181 has 8 divisors (see below), whose sum is σ = 1229213372184. Its totient is φ = 1053425072640.

The previous prime is 1141311456167. The next prime is 1141311456199. The reversal of 1141311456181 is 1816541131411.

It can be written as a sum of positive squares in 4 ways, for example, as 6306742225 + 1135004713956 = 79415^2 + 1065366^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1141311456181 is a prime.

It is a super-2 number, since 2×1141311456181² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1141311456181.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141311456121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3730276 + ... + 4024621.

It is an arithmetic number, because the mean of its divisors is an integer number (153651671523).

Almost surely, 2^{1141311456181} is an apocalyptic number.

It is an amenable number.

1141311456181 is a deficient number, since it is larger than the sum of its proper divisors (87901916003).

1141311456181 is a wasteful number, since it uses less digits than its factorization.

1141311456181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7766231.

The product of its digits is 11520, while the sum is 37.

Adding to 1141311456181 its reverse (1816541131411), we get a palindrome (2957852587592).

The spelling of 1141311456181 in words is "one trillion, one hundred forty-one billion, three hundred eleven million, four hundred fifty-six thousand, one hundred eighty-one".