14894165615616 has 297 divisors, whose sum is σ = 50036775092811. Its totient is φ = 4254734905344.

The previous prime is 14894165615611. The next prime is 14894165615617. The reversal of 14894165615616 is 61651656149841.

The square root of 14894165615616 is 3859296.

It is a perfect power (a square), and thus also a powerful number.

14894165615616 is a `hidden beast` number, since 1 + 4 + 8 + 9 + 4 + 1 + 6 + 5 + 6 + 1 + 5 + 616 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (14894165615611) 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 26 ways as a sum of consecutive naturals, for example, 2593444041 + ... + 2593449783.

Almost surely, 2^{14894165615616} is an apocalyptic number.

14894165615616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14894165615616 is the 3859296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14894165615616

14894165615616 is an abundant number, since it is smaller than the sum of its proper divisors (35142609477195).

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

14894165615616 is an frugal number, since it uses more digits than its factorization.

14894165615616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11526 (or 5755 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 63.

The spelling of 14894165615616 in words is "fourteen trillion, eight hundred ninety-four billion, one hundred sixty-five million, six hundred fifteen thousand, six hundred sixteen".