14319685266496 has 189 divisors, whose sum is σ = 29694349529013. Its totient is φ = 6851405276160.

The previous prime is 14319685266493. The next prime is 14319685266499. The reversal of 14319685266496 is 69466258691341.

The square root of 14319685266496 is 3784136.

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

It is an interprime number because it is at equal distance from previous prime (14319685266493) and next prime (14319685266499).

It can be written as a sum of positive squares in only one way, i.e., 690002680896 + 13629682585600 = 830664^2 + 3691840^2 .

It is a super-2 number, since 2×14319685266496² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (70) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14319685266493) by changing a digit.

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, 103019318395 + ... + 103019318533.

Almost surely, 2^{14319685266496} is an apocalyptic number.

14319685266496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14319685266496 is the 3784136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14319685266496

14319685266496 is an abundant number, since it is smaller than the sum of its proper divisors (15374664262517).

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

14319685266496 is an frugal number, since it uses more digits than its factorization.

14319685266496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 265 counting only the distinct ones).

The product of its digits is 403107840, while the sum is 70.

The spelling of 14319685266496 in words is "fourteen trillion, three hundred nineteen billion, six hundred eighty-five million, two hundred sixty-six thousand, four hundred ninety-six".