14342135302305 has 48 divisors (see below), whose sum is σ = 25503653592144. Its totient is φ = 7451550812160.

The previous prime is 14342135302291. The next prime is 14342135302351. The reversal of 14342135302305 is 50320353124341.

14342135302305 is a `hidden beast` number, since 1 + 4 + 3 + 42 + 1 + 3 + 5 + 302 + 305 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 358432110864 + 13983703191441 = 598692^2 + 3739479^2 .

It is not a de Polignac number, because 14342135302305 - 2⁵ = 14342135302273 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 14342135302305.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4492084 + ... + 6990213.

It is an arithmetic number, because the mean of its divisors is an integer number (531326116503).

Almost surely, 2^{14342135302305} is an apocalyptic number.

14342135302305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14342135302305 is a deficient number, since it is larger than the sum of its proper divisors (11161518289839).

14342135302305 is a wasteful number, since it uses less digits than its factorization.

14342135302305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11483026 (or 11483023 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 14342135302305 its reverse (50320353124341), we get a palindrome (64662488426646).

The spelling of 14342135302305 in words is "fourteen trillion, three hundred forty-two billion, one hundred thirty-five million, three hundred two thousand, three hundred five".