12664112514144 has 384 divisors, whose sum is σ = 41625927060480. Its totient is φ = 3281984815104.

The previous prime is 12664112514139. The next prime is 12664112514169. The reversal of 12664112514144 is 44141521146621.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 12664112514096 and 12664112514105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1864285212 + ... + 1864292004.

It is an arithmetic number, because the mean of its divisors is an integer number (108400851720).

Almost surely, 2^{12664112514144} is an apocalyptic number.

12664112514144 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 12664112514144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20812963530240).

12664112514144 is an abundant number, since it is smaller than the sum of its proper divisors (28961814546336).

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

12664112514144 is a wasteful number, since it uses less digits than its factorization.

12664112514144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10502 (or 10494 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The spelling of 12664112514144 in words is "twelve trillion, six hundred sixty-four billion, one hundred twelve million, five hundred fourteen thousand, one hundred forty-four".