114133410304 has 60 divisors (see below), whose sum is σ = 233001444654. Its totient is φ = 55851966464.

The previous prime is 114133410299. The next prime is 114133410359. The reversal of 114133410304 is 403014331411.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 114006171904 + 127238400 = 337648^2 + 11280^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1080552 + ... + 1181464.

Almost surely, 2^114133410304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114133410304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116500722327).

114133410304 is an abundant number, since it is smaller than the sum of its proper divisors (118868034350).

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

114133410304 is an frugal number, since it uses more digits than its factorization.

114133410304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101025 (or 100962 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 114133410304 its reverse (403014331411), we get a palindrome (517147741715).

The spelling of 114133410304 in words is "one hundred fourteen billion, one hundred thirty-three million, four hundred ten thousand, three hundred four".