12623417568 has 96 divisors (see below), whose sum is σ = 36939006720. Its totient is φ = 4194011520.

The previous prime is 12623417561. The next prime is 12623417579. The reversal of 12623417568 is 86571432621.

12623417568 is a `hidden beast` number, since 1 + 2 + 623 + 4 + 17 + 5 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12623417561) 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 15 ways as a sum of consecutive naturals, for example, 241453 + ... + 289043.

It is an arithmetic number, because the mean of its divisors is an integer number (384781320).

Almost surely, 2^12623417568 is an apocalyptic number.

12623417568 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 12623417568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18469503360).

12623417568 is an abundant number, since it is smaller than the sum of its proper divisors (24315589152).

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

12623417568 is a wasteful number, since it uses less digits than its factorization.

12623417568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47917 (or 47903 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 12623417568 in words is "twelve billion, six hundred twenty-three million, four hundred seventeen thousand, five hundred sixty-eight".