12406168617 has 32 divisors (see below), whose sum is σ = 17779507200. Its totient is φ = 7671894912.

The previous prime is 12406168583. The next prime is 12406168631. The reversal of 12406168617 is 71686160421.

It is not a de Polignac number, because 12406168617 - 2¹⁴ = 12406152233 is a prime.

It is a super-3 number, since 3×12406168617³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12406168517) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 510648 + ... + 534390.

It is an arithmetic number, because the mean of its divisors is an integer number (555609600).

Almost surely, 2^12406168617 is an apocalyptic number.

It is an amenable number.

12406168617 is a deficient number, since it is larger than the sum of its proper divisors (5373338583).

12406168617 is a wasteful number, since it uses less digits than its factorization.

12406168617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23957.

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 12406168617 in words is "twelve billion, four hundred six million, one hundred sixty-eight thousand, six hundred seventeen".