14320139366416 has 135 divisors (see below), whose sum is σ = 30569912820837. Its totient is φ = 6495496750080.

The previous prime is 14320139366369. The next prime is 14320139366441. The reversal of 14320139366416 is 61466393102341.

The square root of 14320139366416 is 3784196.

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

It can be written as a sum of positive squares in 13 ways, for example, as 13778914304016 + 541225062400 = 3711996^2 + 735680^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14320139366416.

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 26 ways as a sum of consecutive naturals, for example, 12003469116 + ... + 12003470308.

Almost surely, 2^{14320139366416} is an apocalyptic number.

14320139366416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14320139366416 is the 3784196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14320139366416

14320139366416 is an abundant number, since it is smaller than the sum of its proper divisors (16249773454421).

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

14320139366416 is an frugal number, since it uses more digits than its factorization.

14320139366416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2542 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 49.

Multiplying 14320139366416 by its sum of digits (49), we get a square (701686828954384 = 26489372²).

The spelling of 14320139366416 in words is "fourteen trillion, three hundred twenty billion, one hundred thirty-nine million, three hundred sixty-six thousand, four hundred sixteen".