14749683075072 has 576 divisors, whose sum is σ = 48378750638400. Its totient is φ = 4436700364800.

The previous prime is 14749683074981. The next prime is 14749683075089. The reversal of 14749683075072 is 27057038694741.

14749683075072 is a `hidden beast` number, since 1 + 4 + 7 + 4 + 96 + 8 + 30 + 7 + 507 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 47 ways as a sum of consecutive naturals, for example, 916633747 + ... + 916649837.

It is an arithmetic number, because the mean of its divisors is an integer number (83990886525).

It is a 1-persistent number, because it is pandigital, but 2⋅14749683075072 = 29499366150144 is not.

Almost surely, 2^{14749683075072} is an apocalyptic number.

14749683075072 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 14749683075072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24189375319200).

14749683075072 is an abundant number, since it is smaller than the sum of its proper divisors (33629067563328).

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

14749683075072 is a wasteful number, since it uses less digits than its factorization.

14749683075072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16281 (or 16244 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 14749683075072 in words is "fourteen trillion, seven hundred forty-nine billion, six hundred eighty-three million, seventy-five thousand, seventy-two".