12291349968 has 40 divisors (see below), whose sum is σ = 35280728000. Its totient is φ = 4097116512.

The previous prime is 12291349963. The next prime is 12291349999. The reversal of 12291349968 is 86994319221.

12291349968 is a `hidden beast` number, since 1 + 2 + 2 + 91 + 3 + 499 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12291349963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14225668 + ... + 14226531.

It is an arithmetic number, because the mean of its divisors is an integer number (882018200).

Almost surely, 2^12291349968 is an apocalyptic number.

12291349968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12291349968 is an abundant number, since it is smaller than the sum of its proper divisors (22989378032).

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

12291349968 is a wasteful number, since it uses less digits than its factorization.

12291349968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28452216 (or 28452204 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The spelling of 12291349968 in words is "twelve billion, two hundred ninety-one million, three hundred forty-nine thousand, nine hundred sixty-eight".