12606509664 has 288 divisors, whose sum is σ = 43879268160. Its totient is φ = 3351085056.

The previous prime is 12606509659. The next prime is 12606509683. The reversal of 12606509664 is 46690560621.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3048142 + ... + 3052274.

It is an arithmetic number, because the mean of its divisors is an integer number (152358570).

Almost surely, 2^12606509664 is an apocalyptic number.

12606509664 is a gapful number since it is divisible by the number (14) 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 12606509664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21939634080).

12606509664 is an abundant number, since it is smaller than the sum of its proper divisors (31272758496).

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

12606509664 is a wasteful number, since it uses less digits than its factorization.

12606509664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4262 (or 4251 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 12606509664 in words is "twelve billion, six hundred six million, five hundred nine thousand, six hundred sixty-four".