12642110459664 has 160 divisors (see below), whose sum is σ = 38338304405760. Its totient is φ = 3513931186176.

The previous prime is 12642110459663. The next prime is 12642110459681. The reversal of 12642110459664 is 46695401124621.

12642110459664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12642110459663) 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, 96817332 + ... + 96947820.

It is an arithmetic number, because the mean of its divisors is an integer number (239614402536).

Almost surely, 2^{12642110459664} is an apocalyptic number.

12642110459664 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 12642110459664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19169152202880).

12642110459664 is an abundant number, since it is smaller than the sum of its proper divisors (25696193946096).

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

12642110459664 is a wasteful number, since it uses less digits than its factorization.

12642110459664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138337 (or 138331 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 12642110459664 in words is "twelve trillion, six hundred forty-two billion, one hundred ten million, four hundred fifty-nine thousand, six hundred sixty-four".