14126117563660 has 192 divisors, whose sum is σ = 32518912406400. Its totient is φ = 5132664963072.

The previous prime is 14126117563601. The next prime is 14126117563673. The reversal of 14126117563660 is 6636571162141.

14126117563660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 3255613771 + ... + 3255618109.

It is an arithmetic number, because the mean of its divisors is an integer number (169369335450).

Almost surely, 2^{14126117563660} is an apocalyptic number.

14126117563660 is a gapful number since it is divisible by the number (10) 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 14126117563660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16259456203200).

14126117563660 is an abundant number, since it is smaller than the sum of its proper divisors (18392794842740).

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

14126117563660 is a wasteful number, since it uses less digits than its factorization.

14126117563660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6428 (or 6426 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

The spelling of 14126117563660 in words is "fourteen trillion, one hundred twenty-six billion, one hundred seventeen million, five hundred sixty-three thousand, six hundred sixty".