114334113002351 has 16 divisors (see below), whose sum is σ = 124745391014400. Its totient is φ = 103925714265600.

The previous prime is 114334113002309. The next prime is 114334113002393. The reversal of 114334113002351 is 153200311433411.

It is an interprime number because it is at equal distance from previous prime (114334113002309) and next prime (114334113002393).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-114334113002351 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114334113032351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4502925866 + ... + 4502951256.

It is an arithmetic number, because the mean of its divisors is an integer number (7796586938400).

Almost surely, 2^{114334113002351} is an apocalyptic number.

114334113002351 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

114334113002351 is a deficient number, since it is larger than the sum of its proper divisors (10411278012049).

114334113002351 is a wasteful number, since it uses less digits than its factorization.

114334113002351 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65950.

The product of its (nonzero) digits is 12960, while the sum is 32.

Adding to 114334113002351 its reverse (153200311433411), we get a palindrome (267534424435762).

The spelling of 114334113002351 in words is "one hundred fourteen trillion, three hundred thirty-four billion, one hundred thirteen million, two thousand, three hundred fifty-one".