1444714887168 has 384 divisors, whose sum is σ = 4983314918400. Its totient is φ = 404981710848.

The previous prime is 1444714887113. The next prime is 1444714887193. The reversal of 1444714887168 is 8617884174441.

1444714887168 is a `hidden beast` number, since 1 + 44 + 47 + 1 + 488 + 71 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1444714887168² (a number of 25 digits) contains 22 as substring.

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20479605 + ... + 20550027.

It is an arithmetic number, because the mean of its divisors is an integer number (12977382600).

Almost surely, 2^{1444714887168} is an apocalyptic number.

1444714887168 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 1444714887168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2491657459200).

1444714887168 is an abundant number, since it is smaller than the sum of its proper divisors (3538600031232).

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

1444714887168 is an equidigital number, since it uses as much as digits as its factorization.

1444714887168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70514 (or 70488 counting only the distinct ones).

The product of its digits is 38535168, while the sum is 63.

The spelling of 1444714887168 in words is "one trillion, four hundred forty-four billion, seven hundred fourteen million, eight hundred eighty-seven thousand, one hundred sixty-eight".