14488644538368 has 1664 divisors, whose sum is σ = 58830514176000. Its totient is φ = 3472500326400.

The previous prime is 14488644538327. The next prime is 14488644538373. The reversal of 14488644538368 is 86383544688441.

14488644538368 is a `hidden beast` number, since 1 + 4 + 4 + 8 + 86 + 4 + 4 + 538 + 3 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

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 = 14488644538296 and 14488644538305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5424425673 + ... + 5424428343.

Almost surely, 2^{14488644538368} is an apocalyptic number.

14488644538368 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 14488644538368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29415257088000).

14488644538368 is an abundant number, since it is smaller than the sum of its proper divisors (44341869637632).

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

14488644538368 is a wasteful number, since it uses less digits than its factorization.

14488644538368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2749 (or 2707 counting only the distinct ones).

The product of its digits is 1698693120, while the sum is 72.

The spelling of 14488644538368 in words is "fourteen trillion, four hundred eighty-eight billion, six hundred forty-four million, five hundred thirty-eight thousand, three hundred sixty-eight".