14506256455680 has 768 divisors, whose sum is σ = 51946430215680. Its totient is φ = 3426169651200.

The previous prime is 14506256455627. The next prime is 14506256455699. The reversal of 14506256455680 is 8655465260541.

It is a tau number, because it is divible by the number of its divisors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 14506256455680.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2205600552 + ... + 2205607128.

It is an arithmetic number, because the mean of its divisors is an integer number (67638581010).

Almost surely, 2^{14506256455680} is an apocalyptic number.

14506256455680 is a gapful number since it is divisible by the number (10) 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 14506256455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25973215107840).

14506256455680 is an abundant number, since it is smaller than the sum of its proper divisors (37440173760000).

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

14506256455680 is a wasteful number, since it uses less digits than its factorization.

14506256455680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6786 (or 6766 counting only the distinct ones).

The product of its (nonzero) digits is 34560000, while the sum is 57.

The spelling of 14506256455680 in words is "fourteen trillion, five hundred six billion, two hundred fifty-six million, four hundred fifty-five thousand, six hundred eighty".