114434041413114 has 192 divisors, whose sum is σ = 261721568908800. Its totient is φ = 36064714752000.

The previous prime is 114434041413089. The next prime is 114434041413179. The reversal of 114434041413114 is 411314140434411.

114434041413114 is a `hidden beast` number, since 1 + 1 + 443 + 40 + 4 + 141 + 31 + 1 + 4 = 666.

It is a super-2 number, since 2×114434041413114² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62498110179 + ... + 62498112009.

It is an arithmetic number, because the mean of its divisors is an integer number (1363133171400).

Almost surely, 2^{114434041413114} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114434041413114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130860784454400).

114434041413114 is an abundant number, since it is smaller than the sum of its proper divisors (147287527495686).

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

114434041413114 is a wasteful number, since it uses less digits than its factorization.

114434041413114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4541 (or 4538 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 114434041413114 its reverse (411314140434411), we get a palindrome (525748181847525).

The spelling of 114434041413114 in words is "one hundred fourteen trillion, four hundred thirty-four billion, forty-one million, four hundred thirteen thousand, one hundred fourteen".