1121488416 has 240 divisors, whose sum is σ = 3453950808. Its totient is φ = 356659200.

The previous prime is 1121488409. The next prime is 1121488451. The reversal of 1121488416 is 6148841211.

It can be written as a sum of positive squares in 4 ways, for example, as 615238416 + 506250000 = 24804^2 + 22500^2 .

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

It is a nude number because it is divisible by every one of its digits.

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 39 ways as a sum of consecutive naturals, for example, 6482506 + ... + 6482678.

Almost surely, 2^1121488416 is an apocalyptic number.

1121488416 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 1121488416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726975404).

1121488416 is an abundant number, since it is smaller than the sum of its proper divisors (2332462392).

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

1121488416 is a wasteful number, since it uses less digits than its factorization.

1121488416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 280 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 1121488416 is about 33488.6311455097. The cubic root of 1121488416 is about 1038.9586519302.

The spelling of 1121488416 in words is "one billion, one hundred twenty-one million, four hundred eighty-eight thousand, four hundred sixteen".