14335949028672 has 224 divisors, whose sum is σ = 45562204227200. Its totient is φ = 4404786241536.

The previous prime is 14335949028659. The next prime is 14335949028673. The reversal of 14335949028672 is 27682094953341.

14335949028672 is a `hidden beast` number, since 1 + 4 + 3 + 3 + 59 + 490 + 28 + 6 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14335949028673) by changing a digit.

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, 4685833 + ... + 7115400.

It is a 2-persistent number, because it is pandigital, and so is 2⋅14335949028672 = 28671898057344, but 3⋅14335949028672 = 43007847086016 is not.

Almost surely, 2^{14335949028672} is an apocalyptic number.

14335949028672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14335949028672 is an abundant number, since it is smaller than the sum of its proper divisors (31226255198528).

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

14335949028672 is a wasteful number, since it uses less digits than its factorization.

14335949028672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11801310 (or 11801294 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 14335949028672 in words is "fourteen trillion, three hundred thirty-five billion, nine hundred forty-nine million, twenty-eight thousand, six hundred seventy-two".