14200952295168 has 432 divisors, whose sum is σ = 42930012303360. Its totient is φ = 4509156556800.

The previous prime is 14200952295157. The next prime is 14200952295253. The reversal of 14200952295168 is 86159225900241.

14200952295168 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 0 + 9 + 522 + 9 + 51 + 68 = 666.

14200952295168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14200952295168² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3767828388 + ... + 3767832156.

It is an arithmetic number, because the mean of its divisors is an integer number (99375028480).

Almost surely, 2^{14200952295168} is an apocalyptic number.

14200952295168 is a gapful number since it is divisible by the number (18) 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 14200952295168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21465006151680).

14200952295168 is an abundant number, since it is smaller than the sum of its proper divisors (28729060008192).

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

14200952295168 is a wasteful number, since it uses less digits than its factorization.

14200952295168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4636 (or 4619 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 14200952295168 in words is "fourteen trillion, two hundred billion, nine hundred fifty-two million, two hundred ninety-five thousand, one hundred sixty-eight".