14092829067114 has 96 divisors (see below), whose sum is σ = 34992878469120. Its totient is φ = 4015414231200.

The previous prime is 14092829067113. The next prime is 14092829067139. The reversal of 14092829067114 is 41176092829041.

14092829067114 is a `hidden beast` number, since 1 + 409 + 2 + 82 + 90 + 6 + 71 + 1 + 4 = 666.

It is a super-2 number, since 2×14092829067114² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (14092829067113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116707509 + ... + 116828199.

It is an arithmetic number, because the mean of its divisors is an integer number (364509150720).

Almost surely, 2^{14092829067114} is an apocalyptic number.

14092829067114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

14092829067114 is an abundant number, since it is smaller than the sum of its proper divisors (20900049402006).

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

14092829067114 is a wasteful number, since it uses less digits than its factorization.

14092829067114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123256 (or 123253 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 14092829067114 in words is "fourteen trillion, ninety-two billion, eight hundred twenty-nine million, sixty-seven thousand, one hundred fourteen".