14138418665952 has 1008 divisors, whose sum is σ = 51382161628560. Its totient is φ = 3805982982144.

The previous prime is 14138418665947. The next prime is 14138418665963. The reversal of 14138418665952 is 25956681483141.

It is a happy number.

14138418665952 is a `hidden beast` number, since 1 + 4 + 1 + 38 + 4 + 1 + 8 + 6 + 6 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 14138418665952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 4191643338 + ... + 4191646710.

It is an arithmetic number, because the mean of its divisors is an integer number (50974366695).

Almost surely, 2^{14138418665952} is an apocalyptic number.

14138418665952 is a gapful number since it is divisible by the number (12) 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 14138418665952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25691080814280).

14138418665952 is an abundant number, since it is smaller than the sum of its proper divisors (37243742962608).

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

14138418665952 is a wasteful number, since it uses less digits than its factorization.

14138418665952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3627 (or 3597 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 63.

The spelling of 14138418665952 in words is "fourteen trillion, one hundred thirty-eight billion, four hundred eighteen million, six hundred sixty-five thousand, nine hundred fifty-two".