11483004045888 has 280 divisors, whose sum is σ = 35099389499328. Its totient is φ = 3710194136064.

The previous prime is 11483004045811. The next prime is 11483004045907. The reversal of 11483004045888 is 88854040038411.

11483004045888 is a `hidden beast` number, since 1 + 1 + 48 + 30 + 0 + 40 + 458 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22552645 + ... + 23056187.

Almost surely, 2^{11483004045888} is an apocalyptic number.

11483004045888 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 11483004045888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17549694749664).

11483004045888 is an abundant number, since it is smaller than the sum of its proper divisors (23616385453440).

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

11483004045888 is an equidigital number, since it uses as much as digits as its factorization.

11483004045888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503703 (or 503684 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The spelling of 11483004045888 in words is "eleven trillion, four hundred eighty-three billion, four million, forty-five thousand, eight hundred eighty-eight".