114189105366 has 384 divisors, whose sum is σ = 324031518720. Its totient is φ = 28280918016.

The previous prime is 114189105343. The next prime is 114189105409. The reversal of 114189105366 is 663501981411.

114189105366 is a `hidden beast` number, since 1 + 1 + 4 + 189 + 105 + 366 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 360217840 + ... + 360218156.

It is an arithmetic number, because the mean of its divisors is an integer number (843832080).

Almost surely, 2^114189105366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114189105366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162015759360).

114189105366 is an abundant number, since it is smaller than the sum of its proper divisors (209842413354).

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

114189105366 is a wasteful number, since it uses less digits than its factorization.

114189105366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 114189105366 in words is "one hundred fourteen billion, one hundred eighty-nine million, one hundred five thousand, three hundred sixty-six".