1144311404112 has 160 divisors (see below), whose sum is σ = 3629018799360. Its totient is φ = 343390924800.

The previous prime is 1144311404107. The next prime is 1144311404113. The reversal of 1144311404112 is 2114041134411.

1144311404112 is a `hidden beast` number, since 1 + 144 + 3 + 1 + 1 + 404 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144311404113) 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 31 ways as a sum of consecutive naturals, for example, 3218389 + ... + 3556212.

It is an arithmetic number, because the mean of its divisors is an integer number (22681367496).

Almost surely, 2^{1144311404112} is an apocalyptic number.

1144311404112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1144311404112 is an abundant number, since it is smaller than the sum of its proper divisors (2484707395248).

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

1144311404112 is a wasteful number, since it uses less digits than its factorization.

1144311404112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6774658 (or 6774646 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 1144311404112 its reverse (2114041134411), we get a palindrome (3258352538523).

The spelling of 1144311404112 in words is "one trillion, one hundred forty-four billion, three hundred eleven million, four hundred four thousand, one hundred twelve".