14079958272 has 144 divisors (see below), whose sum is σ = 42043281280. Its totient is φ = 4647518208.

The previous prime is 14079958271. The next prime is 14079958279. The reversal of 14079958272 is 27285997041.

14079958272 is a `hidden beast` number, since 1 + 407 + 9 + 95 + 82 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×14079958272² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14079958271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 702048 + ... + 721824.

Almost surely, 2^14079958272 is an apocalyptic number.

14079958272 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 14079958272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21021640640).

14079958272 is an abundant number, since it is smaller than the sum of its proper divisors (27963323008).

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

14079958272 is a wasteful number, since it uses less digits than its factorization.

14079958272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19905 (or 19885 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 14079958272 in words is "fourteen billion, seventy-nine million, nine hundred fifty-eight thousand, two hundred seventy-two".