114114411414 has 80 divisors (see below), whose sum is σ = 257316377472. Its totient is φ = 37798451712.

The previous prime is 114114411409. The next prime is 114114411449. The reversal of 114114411414 is 414114411411.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22142662 + ... + 22147814.

Almost surely, 2^114114411414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114114411414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128658188736).

114114411414 is an abundant number, since it is smaller than the sum of its proper divisors (143201966058).

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

114114411414 is a wasteful number, since it uses less digits than its factorization.

114114411414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6003 (or 5994 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

Adding to 114114411414 its reverse (414114411411), we get a palindrome (528228822825).

The spelling of 114114411414 in words is "one hundred fourteen billion, one hundred fourteen million, four hundred eleven thousand, four hundred fourteen".