12469045680 has 720 divisors, whose sum is σ = 54213030144. Its totient is φ = 2543063040.

The previous prime is 12469045651. The next prime is 12469045703. The reversal of 12469045680 is 8654096421.

12469045680 is a `hidden beast` number, since 1 + 24 + 69 + 0 + 4 + 568 + 0 = 666.

12469045680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 14217402 + ... + 14218278.

Almost surely, 2^12469045680 is an apocalyptic number.

12469045680 is a gapful number since it is divisible by the number (10) 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 12469045680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27106515072).

12469045680 is an abundant number, since it is smaller than the sum of its proper divisors (41743984464).

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

12469045680 is a wasteful number, since it uses less digits than its factorization.

12469045680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 12469045680 in words is "twelve billion, four hundred sixty-nine million, forty-five thousand, six hundred eighty".