11961478188 has 144 divisors (see below), whose sum is σ = 35247532320. Its totient is φ = 3379968000.

The previous prime is 11961478183. The next prime is 11961478201. The reversal of 11961478188 is 88187416911.

11961478188 is a `hidden beast` number, since 1 + 1 + 9 + 614 + 7 + 8 + 18 + 8 = 666.

11961478188 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11961478183) 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 47 ways as a sum of consecutive naturals, for example, 725638 + ... + 741938.

It is an arithmetic number, because the mean of its divisors is an integer number (244774530).

Almost surely, 2^11961478188 is an apocalyptic number.

11961478188 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 11961478188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17623766160).

11961478188 is an abundant number, since it is smaller than the sum of its proper divisors (23286054132).

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

11961478188 is a wasteful number, since it uses less digits than its factorization.

11961478188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16448 (or 16443 counting only the distinct ones).

The product of its digits is 774144, while the sum is 54.

The spelling of 11961478188 in words is "eleven billion, nine hundred sixty-one million, four hundred seventy-eight thousand, one hundred eighty-eight".