14438163769344 has 864 divisors, whose sum is σ = 51061439651040. Its totient is φ = 4063159812096.

The previous prime is 14438163769283. The next prime is 14438163769409. The reversal of 14438163769344 is 44396736183441.

14438163769344 is a `hidden beast` number, since 1 + 4 + 4 + 381 + 63 + 76 + 93 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1633826494 + ... + 1633835330.

It is an arithmetic number, because the mean of its divisors is an integer number (59098888485).

Almost surely, 2^{14438163769344} is an apocalyptic number.

14438163769344 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 14438163769344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25530719825520).

14438163769344 is an abundant number, since it is smaller than the sum of its proper divisors (36623275881696).

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

14438163769344 is an frugal number, since it uses more digits than its factorization.

14438163769344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8955 (or 8916 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 63.

The spelling of 14438163769344 in words is "fourteen trillion, four hundred thirty-eight billion, one hundred sixty-three million, seven hundred sixty-nine thousand, three hundred forty-four".