12185889408 has 384 divisors, whose sum is σ = 46296282240. Its totient is φ = 2978611200.

The previous prime is 12185889403. The next prime is 12185889409. The reversal of 12185889408 is 80498858121.

12185889408 is a `hidden beast` number, since 1 + 2 + 18 + 588 + 9 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (12185889403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1503928 + ... + 1512008.

It is an arithmetic number, because the mean of its divisors is an integer number (120563235).

Almost surely, 2^12185889408 is an apocalyptic number.

12185889408 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 12185889408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23148141120).

12185889408 is an abundant number, since it is smaller than the sum of its proper divisors (34110392832).

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

12185889408 is a wasteful number, since it uses less digits than its factorization.

12185889408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8136 (or 8121 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 54.

The spelling of 12185889408 in words is "twelve billion, one hundred eighty-five million, eight hundred eighty-nine thousand, four hundred eight".