12304191456 has 288 divisors, whose sum is σ = 40351802400. Its totient is φ = 3530096640.

The previous prime is 12304191451. The next prime is 12304191463. The reversal of 12304191456 is 65419140321.

It is a happy number.

12304191456 is a `hidden beast` number, since 1 + 230 + 419 + 1 + 4 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12304191456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12304191451) 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, 2695416 + ... + 2699976.

It is an arithmetic number, because the mean of its divisors is an integer number (140110425).

Almost surely, 2^12304191456 is an apocalyptic number.

12304191456 is a gapful number since it is divisible by the number (16) 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 12304191456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20175901200).

12304191456 is an abundant number, since it is smaller than the sum of its proper divisors (28047610944).

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

12304191456 is a wasteful number, since it uses less digits than its factorization.

12304191456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4642 (or 4631 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 12304191456 in words is "twelve billion, three hundred four million, one hundred ninety-one thousand, four hundred fifty-six".