14483657212416 has 640 divisors, whose sum is σ = 49601482444800. Its totient is φ = 4087418388480.

The previous prime is 14483657212403. The next prime is 14483657212417. The reversal of 14483657212416 is 61421275638441.

14483657212416 is a `hidden beast` number, since 1 + 4 + 4 + 8 + 3 + 6 + 5 + 7 + 212 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (14483657212417) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3400715695 + ... + 3400719953.

It is an arithmetic number, because the mean of its divisors is an integer number (77502316320).

Almost surely, 2^{14483657212416} is an apocalyptic number.

14483657212416 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 14483657212416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24800741222400).

14483657212416 is an abundant number, since it is smaller than the sum of its proper divisors (35117825232384).

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

14483657212416 is a wasteful number, since it uses less digits than its factorization.

14483657212416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4717 (or 4695 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 14483657212416 in words is "fourteen trillion, four hundred eighty-three billion, six hundred fifty-seven million, two hundred twelve thousand, four hundred sixteen".