14053681382976 has 105 divisors (see below), whose sum is σ = 41660314367419. Its totient is φ = 4684470489216.

The previous prime is 14053681382953. The next prime is 14053681382999. The reversal of 14053681382976 is 67928318635041.

The square root of 14053681382976 is 3748824.

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

14053681382976 is a `hidden beast` number, since 1 + 4 + 0 + 536 + 8 + 1 + 3 + 8 + 2 + 97 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (14053681382953) and next prime (14053681382999).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 269889295 + ... + 269941361.

It is a 1-persistent number, because it is pandigital, but 2⋅14053681382976 = 28107362765952 is not.

Almost surely, 2^{14053681382976} is an apocalyptic number.

14053681382976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14053681382976 is the 3748824-th square number.

It is an amenable number.

14053681382976 is an abundant number, since it is smaller than the sum of its proper divisors (27606632984443).

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

14053681382976 is an frugal number, since it uses more digits than its factorization.

14053681382976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104158 (or 52072 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 14053681382976 in words is "fourteen trillion, fifty-three billion, six hundred eighty-one million, three hundred eighty-two thousand, nine hundred seventy-six".