14506604456448 has 480 divisors, whose sum is σ = 43365871549440. Its totient is φ = 4304318054400.

The previous prime is 14506604456429. The next prime is 14506604456459. The reversal of 14506604456448 is 84465440660541.

It is a super-3 number, since 3×14506604456448³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 881798623 + ... + 881815073.

It is an arithmetic number, because the mean of its divisors is an integer number (90345565728).

Almost surely, 2^{14506604456448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14506604456448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21682935774720).

14506604456448 is an abundant number, since it is smaller than the sum of its proper divisors (28859267092992).

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

14506604456448 is a wasteful number, since it uses less digits than its factorization.

14506604456448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16620 (or 16591 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 57.

The spelling of 14506604456448 in words is "fourteen trillion, five hundred six billion, six hundred four million, four hundred fifty-six thousand, four hundred forty-eight".