14117159043072 has 552 divisors, whose sum is σ = 44580413040800. Its totient is φ = 4458050224128.

The previous prime is 14117159043067. The next prime is 14117159043131. The reversal of 14117159043072 is 27034095171141.

14117159043072 is a `hidden beast` number, since 1 + 4 + 1 + 17 + 1 + 590 + 43 + 0 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 743008370679 + ... + 743008370697.

Almost surely, 2^{14117159043072} is an apocalyptic number.

14117159043072 is a gapful number since it is divisible by the number (12) 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 14117159043072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22290206520400).

14117159043072 is an abundant number, since it is smaller than the sum of its proper divisors (30463253997728).

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

14117159043072 is an frugal number, since it uses more digits than its factorization.

14117159043072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 14117159043072 in words is "fourteen trillion, one hundred seventeen billion, one hundred fifty-nine million, forty-three thousand, seventy-two".