11188151904 has 96 divisors (see below), whose sum is σ = 29818091520. Its totient is φ = 3672594432.

The previous prime is 11188151903. The next prime is 11188151927. The reversal of 11188151904 is 40915188111.

11188151904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11188151903) 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 15 ways as a sum of consecutive naturals, for example, 3282169 + ... + 3285575.

It is an arithmetic number, because the mean of its divisors is an integer number (310605120).

Almost surely, 2^11188151904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11188151904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14909045760).

11188151904 is an abundant number, since it is smaller than the sum of its proper divisors (18629939616).

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

11188151904 is a wasteful number, since it uses less digits than its factorization.

11188151904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3932 (or 3924 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 39.

The spelling of 11188151904 in words is "eleven billion, one hundred eighty-eight million, one hundred fifty-one thousand, nine hundred four".