14488551399168 has 1620 divisors, whose sum is σ = 55618909670016. Its totient is φ = 3737489817600.

The previous prime is 14488551399163. The next prime is 14488551399269. The reversal of 14488551399168 is 86199315588441.

14488551399168 is a `hidden beast` number, since 1 + 4 + 4 + 8 + 8 + 5 + 513 + 99 + 16 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 14488551399096 and 14488551399105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14488551399163) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 23482254796 + ... + 23482255412.

Almost surely, 2^{14488551399168} is an apocalyptic number.

14488551399168 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 14488551399168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27809454835008).

14488551399168 is an abundant number, since it is smaller than the sum of its proper divisors (41130358270848).

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

14488551399168 is a wasteful number, since it uses less digits than its factorization.

14488551399168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 831 counting only the distinct ones).

The product of its digits is 298598400, while the sum is 72.

The spelling of 14488551399168 in words is "fourteen trillion, four hundred eighty-eight billion, five hundred fifty-one million, three hundred ninety-nine thousand, one hundred sixty-eight".