114104005506 has 160 divisors (see below), whose sum is σ = 276564879360. Its totient is φ = 35047590624.

The previous prime is 114104005469. The next prime is 114104005513. The reversal of 114104005506 is 605500401411.

114104005506 is a `hidden beast` number, since 1 + 1 + 4 + 104 + 0 + 0 + 550 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 114104005506.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24156861 + ... + 24161583.

It is an arithmetic number, because the mean of its divisors is an integer number (1728530496).

Almost surely, 2^114104005506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114104005506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138282439680).

114104005506 is an abundant number, since it is smaller than the sum of its proper divisors (162460873854).

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

114104005506 is a wasteful number, since it uses less digits than its factorization.

114104005506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4970 (or 4961 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 114104005506 its reverse (605500401411), we get a palindrome (719604406917).

The spelling of 114104005506 in words is "one hundred fourteen billion, one hundred four million, five thousand, five hundred six".