14447114476096 has 63 divisors (see below), whose sum is σ = 29466552834747. Its totient is φ = 7027778626560.

The previous prime is 14447114476073. The next prime is 14447114476129. The reversal of 14447114476096 is 69067441174441.

The square root of 14447114476096 is 3800936.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2442718926400 + 12004395549696 = 1562920^2 + 3464736^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 14447114476096.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1125070636 + ... + 1125083476.

It is an arithmetic number, because the mean of its divisors is an integer number (467723060869).

Almost surely, 2^{14447114476096} is an apocalyptic number.

14447114476096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14447114476096 is the 3800936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14447114476096

14447114476096 is an abundant number, since it is smaller than the sum of its proper divisors (15019438358651).

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

14447114476096 is an frugal number, since it uses more digits than its factorization.

14447114476096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25768 (or 12880 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 58.

The spelling of 14447114476096 in words is "fourteen trillion, four hundred forty-seven billion, one hundred fourteen million, four hundred seventy-six thousand, ninety-six".