14439795561216 has 288 divisors, whose sum is σ = 45119452224000. Its totient is φ = 4542586417152.

The previous prime is 14439795561187. The next prime is 14439795561221. The reversal of 14439795561216 is 61216559793441.

14439795561216 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 9 + 7 + 9 + 5 + 5 + 612 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34330230 + ... + 34748298.

Almost surely, 2^{14439795561216} is an apocalyptic number.

14439795561216 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 14439795561216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22559726112000).

14439795561216 is an abundant number, since it is smaller than the sum of its proper divisors (30679656662784).

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

14439795561216 is a wasteful number, since it uses less digits than its factorization.

14439795561216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418376 (or 418356 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 63.

The spelling of 14439795561216 in words is "fourteen trillion, four hundred thirty-nine billion, seven hundred ninety-five million, five hundred sixty-one thousand, two hundred sixteen".