14207811561216 has 864 divisors, whose sum is σ = 55730595170880. Its totient is φ = 3526678020096.

The previous prime is 14207811561211. The next prime is 14207811561277. The reversal of 14207811561216 is 61216511870241.

It is a happy number.

14207811561216 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 7 + 8 + 1 + 15 + 612 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14207811561211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74755140 + ... + 74944956.

It is an arithmetic number, because the mean of its divisors is an integer number (64503003670).

Almost surely, 2^{14207811561216} is an apocalyptic number.

14207811561216 is a gapful number since it is divisible by the number (16) 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 14207811561216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27865297585440).

14207811561216 is an abundant number, since it is smaller than the sum of its proper divisors (41522783609664).

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

14207811561216 is a wasteful number, since it uses less digits than its factorization.

14207811561216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189886 (or 189859 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 14207811561216 in words is "fourteen trillion, two hundred seven billion, eight hundred eleven million, five hundred sixty-one thousand, two hundred sixteen".