12468101607 has 16 divisors (see below), whose sum is σ = 19892128480. Its totient is φ = 7672677696.

The previous prime is 12468101551. The next prime is 12468101641. The reversal of 12468101607 is 70610186421.

It is a happy number.

12468101607 is a `hidden beast` number, since 1 + 2 + 46 + 8 + 1 + 0 + 1 + 607 = 666.

12468101607 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12468101607 - 2¹⁹ = 12467577319 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12468101687) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 17760478 + ... + 17761179.

It is an arithmetic number, because the mean of its divisors is an integer number (1243258030).

Almost surely, 2^12468101607 is an apocalyptic number.

12468101607 is a deficient number, since it is larger than the sum of its proper divisors (7424026873).

12468101607 is a wasteful number, since it uses less digits than its factorization.

12468101607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35521679 (or 35521673 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 12468101607 in words is "twelve billion, four hundred sixty-eight million, one hundred one thousand, six hundred seven".