1123613298576 has 240 divisors, whose sum is σ = 3304486927872. Its totient is φ = 355728384000.

The previous prime is 1123613298571. The next prime is 1123613298581. The reversal of 1123613298576 is 6758923163211.

It is a happy number.

1123613298576 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 61 + 3 + 2 + 9 + 8 + 576 = 666.

It is an interprime number because it is at equal distance from previous prime (1123613298571) and next prime (1123613298581).

It is not an unprimeable number, because it can be changed into a prime (1123613298571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 309448281 + ... + 309451911.

Almost surely, 2^{1123613298576} is an apocalyptic number.

1123613298576 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 1123613298576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652243463936).

1123613298576 is an abundant number, since it is smaller than the sum of its proper divisors (2180873629296).

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

1123613298576 is a wasteful number, since it uses less digits than its factorization.

1123613298576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4302 (or 4293 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 1123613298576 in words is "one trillion, one hundred twenty-three billion, six hundred thirteen million, two hundred ninety-eight thousand, five hundred seventy-six".