114334310040314 has 128 divisors (see below), whose sum is σ = 219133268766720. Its totient is φ = 43536411878400.

The previous prime is 114334310040289. The next prime is 114334310040337. The reversal of 114334310040314 is 413040013433411.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1200703397 + ... + 1200798615.

It is an arithmetic number, because the mean of its divisors is an integer number (1711978662240).

Almost surely, 2^{114334310040314} is an apocalyptic number.

114334310040314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

114334310040314 is a deficient number, since it is larger than the sum of its proper divisors (104798958726406).

114334310040314 is a wasteful number, since it uses less digits than its factorization.

114334310040314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97516.

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 114334310040314 its reverse (413040013433411), we get a palindrome (527374323473725).

The spelling of 114334310040314 in words is "one hundred fourteen trillion, three hundred thirty-four billion, three hundred ten million, forty thousand, three hundred fourteen".