14147563606400 has 384 divisors, whose sum is σ = 40402252632000. Its totient is φ = 4794773667840.

The previous prime is 14147563606399. The next prime is 14147563606403. The reversal of 14147563606400 is 460636574141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14147563606403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2035910126 + ... + 2035917074.

Almost surely, 2^{14147563606400} is an apocalyptic number.

14147563606400 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 14147563606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20201126316000).

14147563606400 is an abundant number, since it is smaller than the sum of its proper divisors (26254689025600).

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

14147563606400 is an equidigital number, since it uses as much as digits as its factorization.

14147563606400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8014 (or 7997 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 47.

The spelling of 14147563606400 in words is "fourteen trillion, one hundred forty-seven billion, five hundred sixty-three million, six hundred six thousand, four hundred".