12662581338 has 64 divisors (see below), whose sum is σ = 30851712000. Its totient is φ = 3817828080.

The previous prime is 12662581333. The next prime is 12662581381. The reversal of 12662581338 is 83318526621.

12662581338 is a `hidden beast` number, since 1 + 2 + 6 + 62 + 581 + 3 + 3 + 8 = 666.

It is a super-2 number, since 2×12662581338² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12662581293 and 12662581302.

It is not an unprimeable number, because it can be changed into a prime (12662581333) 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, 64645 + ... + 171767.

It is an arithmetic number, because the mean of its divisors is an integer number (482058000).

Almost surely, 2^12662581338 is an apocalyptic number.

12662581338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12662581338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15425856000).

12662581338 is an abundant number, since it is smaller than the sum of its proper divisors (18189130662).

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

12662581338 is a wasteful number, since it uses less digits than its factorization.

12662581338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107344 (or 107338 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 12662581338 in words is "twelve billion, six hundred sixty-two million, five hundred eighty-one thousand, three hundred thirty-eight".