1121446144 has 243 divisors, whose sum is σ = 2947623273. Its totient is φ = 424359936.

The previous prime is 1121446141. The next prime is 1121446223. The reversal of 1121446144 is 4416441211.

The square root of 1121446144 is 33488.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 165894400 + 955551744 = 12880^2 + 30912^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1121446141) 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 26 ways as a sum of consecutive naturals, for example, 48758517 + ... + 48758539.

Almost surely, 2^1121446144 is an apocalyptic number.

1121446144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1121446144 is the 33488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121446144

1121446144 is an abundant number, since it is smaller than the sum of its proper divisors (1826177129).

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

1121446144 is an equidigital number, since it uses as much as digits as its factorization.

1121446144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 45 counting only the distinct ones).

The product of its digits is 3072, while the sum is 28.

The cubic root of 1121446144 is about 1038.9455980245.

Adding to 1121446144 its reverse (4416441211), we get a palindrome (5537887355).

The spelling of 1121446144 in words is "one billion, one hundred twenty-one million, four hundred forty-six thousand, one hundred forty-four".