13662126123008 has 768 divisors, whose sum is σ = 34186344192000. Its totient is φ = 5422594129920.

The previous prime is 13662126122933. The next prime is 13662126123011. The reversal of 13662126123008 is 80032162126631.

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, 51947247485 + ... + 51947247747.

It is an arithmetic number, because the mean of its divisors is an integer number (44513469000).

Almost surely, 2^{13662126123008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13662126123008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17093172096000).

13662126123008 is an abundant number, since it is smaller than the sum of its proper divisors (20524218068992).

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

13662126123008 is a wasteful number, since it uses less digits than its factorization.

13662126123008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

Adding to 13662126123008 its reverse (80032162126631), we get a palindrome (93694288249639).

The spelling of 13662126123008 in words is "thirteen trillion, six hundred sixty-two billion, one hundred twenty-six million, one hundred twenty-three thousand, eight".