1115333448768 has 1344 divisors, whose sum is σ = 4258828094976. Its totient is φ = 272985292800.

The previous prime is 1115333448751. The next prime is 1115333448773. The reversal of 1115333448768 is 8678443335111.

1115333448768 is a `hidden beast` number, since 1 + 1 + 1 + 533 + 3 + 4 + 48 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 8141119996 + ... + 8141120132.

It is an arithmetic number, because the mean of its divisors is an integer number (3168770904).

Almost surely, 2^{1115333448768} is an apocalyptic number.

1115333448768 is a gapful number since it is divisible by the number (18) 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 1115333448768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2129414047488).

1115333448768 is an abundant number, since it is smaller than the sum of its proper divisors (3143494646208).

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

1115333448768 is a wasteful number, since it uses less digits than its factorization.

1115333448768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 238 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 1115333448768 in words is "one trillion, one hundred fifteen billion, three hundred thirty-three million, four hundred forty-eight thousand, seven hundred sixty-eight".