14024182661272 has 128 divisors (see below), whose sum is σ = 31217996160000. Its totient is φ = 5782081982976.

The previous prime is 14024182661249. The next prime is 14024182661287. The reversal of 14024182661272 is 27216628142041.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68015629 + ... + 68221507.

It is an arithmetic number, because the mean of its divisors is an integer number (243890595000).

Almost surely, 2^{14024182661272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14024182661272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15608998080000).

14024182661272 is an abundant number, since it is smaller than the sum of its proper divisors (17193813498728).

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

14024182661272 is a wasteful number, since it uses less digits than its factorization.

14024182661272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206393 (or 206389 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The spelling of 14024182661272 in words is "fourteen trillion, twenty-four billion, one hundred eighty-two million, six hundred sixty-one thousand, two hundred seventy-two".