1144091182416 has 160 divisors (see below), whose sum is σ = 3638507120640. Its totient is φ = 301665019392.

The previous prime is 1144091182411. The next prime is 1144091182439. The reversal of 1144091182416 is 6142811904411.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144091182411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19290055 + ... + 19349273.

It is an arithmetic number, because the mean of its divisors is an integer number (22740669504).

Almost surely, 2^{1144091182416} is an apocalyptic number.

1144091182416 is a gapful number since it is divisible by the number (16) 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 1144091182416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819253560320).

1144091182416 is an abundant number, since it is smaller than the sum of its proper divisors (2494415938224).

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

1144091182416 is a wasteful number, since it uses less digits than its factorization.

1144091182416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63673 (or 63667 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The spelling of 1144091182416 in words is "one trillion, one hundred forty-four billion, ninety-one million, one hundred eighty-two thousand, four hundred sixteen".