114334410400211 has 8 divisors (see below), whose sum is σ = 114509636546304. Its totient is φ = 114159191065920.

The previous prime is 114334410400109. The next prime is 114334410400253. The reversal of 114334410400211 is 112004014433411.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 114334410400211 - 2²⁶ = 114334343291347 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114334410400261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32415566 + ... + 35769228.

It is an arithmetic number, because the mean of its divisors is an integer number (14313704568288).

Almost surely, 2^{114334410400211} is an apocalyptic number.

114334410400211 is a deficient number, since it is larger than the sum of its proper divisors (175226146093).

114334410400211 is an equidigital number, since it uses as much as digits as its factorization.

114334410400211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3405901.

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 114334410400211 its reverse (112004014433411), we get a palindrome (226338424833622).

The spelling of 114334410400211 in words is "one hundred fourteen trillion, three hundred thirty-four billion, four hundred ten million, four hundred thousand, two hundred eleven".