1121313648 has 320 divisors, whose sum is σ = 3777536000. Its totient is φ = 286191360.

The previous prime is 1121313593. The next prime is 1121313691. The reversal of 1121313648 is 8463131211.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36171393 + ... + 36171423.

It is an arithmetic number, because the mean of its divisors is an integer number (11804800).

Almost surely, 2^1121313648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121313648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888768000).

1121313648 is an abundant number, since it is smaller than the sum of its proper divisors (2656222352).

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

1121313648 is an equidigital number, since it uses as much as digits as its factorization.

1121313648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 56 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 1121313648 is about 33486.0216806954. The cubic root of 1121313648 is about 1038.9046801560.

Adding to 1121313648 its reverse (8463131211), we get a palindrome (9584444859).

The spelling of 1121313648 in words is "one billion, one hundred twenty-one million, three hundred thirteen thousand, six hundred forty-eight".