14434043206464 has 336 divisors, whose sum is σ = 50565265148160. Its totient is φ = 4023425710080.

The previous prime is 14434043206439. The next prime is 14434043206489. The reversal of 14434043206464 is 46460234043441.

14434043206464 is a `hidden beast` number, since 1 + 4 + 4 + 340 + 43 + 206 + 4 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (14434043206439) and next prime (14434043206489).

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1392649 + ... + 5550455.

It is an arithmetic number, because the mean of its divisors is an integer number (150491860560).

Almost surely, 2^{14434043206464} is an apocalyptic number.

14434043206464 is a gapful number since it is divisible by the number (14) 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 14434043206464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25282632574080).

14434043206464 is an abundant number, since it is smaller than the sum of its proper divisors (36131221941696).

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

14434043206464 is a wasteful number, since it uses less digits than its factorization.

14434043206464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4157883 (or 4157860 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 45.

The spelling of 14434043206464 in words is "fourteen trillion, four hundred thirty-four billion, forty-three million, two hundred six thousand, four hundred sixty-four".