14893419639168 has 256 divisors, whose sum is σ = 50287239014400. Its totient is φ = 4250900570112.

The previous prime is 14893419639149. The next prime is 14893419639173. The reversal of 14893419639168 is 86193691439841.

It is a happy number.

14893419639168 is a `hidden beast` number, since 1 + 4 + 8 + 9 + 3 + 419 + 63 + 91 + 68 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 14893419639096 and 14893419639105.

It is a congruent number.

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, 23320521 + ... + 23950647.

It is an arithmetic number, because the mean of its divisors is an integer number (196434527400).

Almost surely, 2^{14893419639168} is an apocalyptic number.

14893419639168 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 14893419639168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25143619507200).

14893419639168 is an abundant number, since it is smaller than the sum of its proper divisors (35393819375232).

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

14893419639168 is an equidigital number, since it uses as much as digits as its factorization.

14893419639168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631134 (or 631116 counting only the distinct ones).

The product of its digits is 241864704, while the sum is 72.

The spelling of 14893419639168 in words is "fourteen trillion, eight hundred ninety-three billion, four hundred nineteen million, six hundred thirty-nine thousand, one hundred sixty-eight".