12404803968 has 144 divisors (see below), whose sum is σ = 37069669260. Its totient is φ = 4134654720.

The previous prime is 12404803963. The next prime is 12404803981. The reversal of 12404803968 is 86930840421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×12404803968² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12404803963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 832423 + ... + 847193.

Almost surely, 2^12404803968 is an apocalyptic number.

12404803968 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 12404803968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18534834630).

12404803968 is an abundant number, since it is smaller than the sum of its proper divisors (24664865292).

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

12404803968 is an frugal number, since it uses more digits than its factorization.

12404803968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14809 (or 14776 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 12404803968 in words is "twelve billion, four hundred four million, eight hundred three thousand, nine hundred sixty-eight".