12688613574 has 128 divisors (see below), whose sum is σ = 32278321152. Its totient is φ = 3235645440.

The previous prime is 12688613563. The next prime is 12688613579. The reversal of 12688613574 is 47531688621.

It is a super-3 number, since 3×12688613574³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12688613579) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3371854 + ... + 3375614.

It is an arithmetic number, because the mean of its divisors is an integer number (252174384).

Almost surely, 2^12688613574 is an apocalyptic number.

12688613574 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12688613574, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16139160576).

12688613574 is an abundant number, since it is smaller than the sum of its proper divisors (19589707578).

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

12688613574 is a wasteful number, since it uses less digits than its factorization.

12688613574 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3990.

The product of its digits is 1935360, while the sum is 51.

The spelling of 12688613574 in words is "twelve billion, six hundred eighty-eight million, six hundred thirteen thousand, five hundred seventy-four".