14130351649296 has 135 divisors (see below), whose sum is σ = 41738769368751. Its totient is φ = 4461945659712.

The previous prime is 14130351649259. The next prime is 14130351649303. The reversal of 14130351649296 is 69294615303141.

The square root of 14130351649296 is 3759036.

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

14130351649296 is a `hidden beast` number, since 1 + 4 + 1 + 30 + 3 + 516 + 4 + 9 + 2 + 96 = 666.

14130351649296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 857051965 + ... + 857068451.

Almost surely, 2^{14130351649296} is an apocalyptic number.

14130351649296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14130351649296 is the 3759036-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14130351649296

14130351649296 is an abundant number, since it is smaller than the sum of its proper divisors (27608417719455).

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

14130351649296 is an frugal number, since it uses more digits than its factorization.

14130351649296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33026 (or 16511 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 14130351649296 in words is "fourteen trillion, one hundred thirty billion, three hundred fifty-one million, six hundred forty-nine thousand, two hundred ninety-six".