11483004624 has 320 divisors, whose sum is σ = 38024232960. Its totient is φ = 2904698880.

The previous prime is 11483004581. The next prime is 11483004677. The reversal of 11483004624 is 42640038411.

11483004624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 18550587 + ... + 18551205.

It is an arithmetic number, because the mean of its divisors is an integer number (118825728).

Almost surely, 2^11483004624 is an apocalyptic number.

11483004624 is a gapful number since it is divisible by the number (14) 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 11483004624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19012116480).

11483004624 is an abundant number, since it is smaller than the sum of its proper divisors (26541228336).

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

11483004624 is a wasteful number, since it uses less digits than its factorization.

11483004624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 11483004624 in words is "eleven billion, four hundred eighty-three million, four thousand, six hundred twenty-four".