11548745208 has 512 divisors, whose sum is σ = 44487475200. Its totient is φ = 2678054400.

The previous prime is 11548745207. The next prime is 11548745237. The reversal of 11548745208 is 80254784511.

11548745208 is a `hidden beast` number, since 1 + 1 + 54 + 8 + 74 + 520 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11548745207) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6701835 + ... + 6703557.

It is an arithmetic number, because the mean of its divisors is an integer number (86889600).

Almost surely, 2^11548745208 is an apocalyptic number.

11548745208 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 11548745208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22243737600).

11548745208 is an abundant number, since it is smaller than the sum of its proper divisors (32938729992).

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

11548745208 is a wasteful number, since it uses less digits than its factorization.

11548745208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 11548745208 in words is "eleven billion, five hundred forty-eight million, seven hundred forty-five thousand, two hundred eight".