14046428539728 has 320 divisors, whose sum is σ = 45322099200000. Its totient is φ = 4132751445504.

The previous prime is 14046428539727. The next prime is 14046428539769. The reversal of 14046428539728 is 82793582464041.

14046428539728 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 6 + 4 + 28 + 539 + 72 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14046428539721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 451943293 + ... + 451974371.

It is an arithmetic number, because the mean of its divisors is an integer number (141631560000).

It is a 1-persistent number, because it is pandigital, but 2⋅14046428539728 = 28092857079456 is not.

Almost surely, 2^{14046428539728} is an apocalyptic number.

14046428539728 is a gapful number since it is divisible by the number (18) 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 14046428539728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22661049600000).

14046428539728 is an abundant number, since it is smaller than the sum of its proper divisors (31275670660272).

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

14046428539728 is a wasteful number, since it uses less digits than its factorization.

14046428539728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34631 (or 34619 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 14046428539728 in words is "fourteen trillion, forty-six billion, four hundred twenty-eight million, five hundred thirty-nine thousand, seven hundred twenty-eight".