14144217408 has 168 divisors, whose sum is σ = 42158826528. Its totient is φ = 4701805056.

The previous prime is 14144217407. The next prime is 14144217469. The reversal of 14144217408 is 80471244141.

14144217408 is a `hidden beast` number, since 1 + 41 + 442 + 174 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14144217401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6888510 + ... + 6890562.

It is an arithmetic number, because the mean of its divisors is an integer number (250945396).

Almost surely, 2^14144217408 is an apocalyptic number.

14144217408 is a gapful number since it is divisible by the number (18) 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 14144217408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21079413264).

14144217408 is an abundant number, since it is smaller than the sum of its proper divisors (28014609120).

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

14144217408 is an equidigital number, since it uses as much as digits as its factorization.

14144217408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2523 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 14144217408 in words is "fourteen billion, one hundred forty-four million, two hundred seventeen thousand, four hundred eight".