1111061127744 has 168 divisors, whose sum is σ = 3237153805080. Its totient is φ = 364291817472.

The previous prime is 1111061127727. The next prime is 1111061127763. The reversal of 1111061127744 is 4477211601111.

It is a happy number.

1111061127744 is a `hidden beast` number, since 1 + 1 + 1 + 10 + 611 + 27 + 7 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2757510144 + 1108303617600 = 52512^2 + 1052760^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1111061127699 and 1111061127708.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9837804 + ... + 9950100.

Almost surely, 2^{1111061127744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1111061127744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618576902540).

1111061127744 is an abundant number, since it is smaller than the sum of its proper divisors (2126092677336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1111061127744 is a wasteful number, since it uses less digits than its factorization.

1111061127744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112597 (or 112584 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 36.

Adding to 1111061127744 its reverse (4477211601111), we get a palindrome (5588272728855).

The spelling of 1111061127744 in words is "one trillion, one hundred eleven billion, sixty-one million, one hundred twenty-seven thousand, seven hundred forty-four".