1110325332144 has 480 divisors, whose sum is σ = 3726279002880. Its totient is φ = 282296254464.

The previous prime is 1110325332047. The next prime is 1110325332167. The reversal of 1110325332144 is 4412335230111.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 488483392 + ... + 488485664.

It is an arithmetic number, because the mean of its divisors is an integer number (7763081256).

Almost surely, 2^{1110325332144} is an apocalyptic number.

1110325332144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110325332144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863139501440).

1110325332144 is an abundant number, since it is smaller than the sum of its proper divisors (2615953670736).

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

1110325332144 is a wasteful number, since it uses less digits than its factorization.

1110325332144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2977 (or 2964 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 1110325332144 in words is "one trillion, one hundred ten billion, three hundred twenty-five million, three hundred thirty-two thousand, one hundred forty-four".