14112703954944 has 1680 divisors, whose sum is σ = 51985217733120. Its totient is φ = 3741796270080.

The previous prime is 14112703954919. The next prime is 14112703954981. The reversal of 14112703954944 is 44945930721141.

14112703954944 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 27 + 0 + 39 + 549 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 111 ways as a sum of consecutive naturals, for example, 78841921447 + ... + 78841921625.

It is an arithmetic number, because the mean of its divisors is an integer number (30943581984).

Almost surely, 2^{14112703954944} is an apocalyptic number.

14112703954944 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 14112703954944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25992608866560).

14112703954944 is an abundant number, since it is smaller than the sum of its proper divisors (37872513778176).

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

14112703954944 is an frugal number, since it uses more digits than its factorization.

14112703954944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 14112703954944 in words is "fourteen trillion, one hundred twelve billion, seven hundred three million, nine hundred fifty-four thousand, nine hundred forty-four".