114134431104 has 128 divisors (see below), whose sum is σ = 337001472000. Its totient is φ = 38028280320.

The previous prime is 114134431093. The next prime is 114134431121. The reversal of 114134431104 is 401134431411.

114134431104 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 344 + 311 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9944089 + ... + 9955559.

It is an arithmetic number, because the mean of its divisors is an integer number (2632824000).

Almost surely, 2^114134431104 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 114134431104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168500736000).

114134431104 is an abundant number, since it is smaller than the sum of its proper divisors (222867040896).

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

114134431104 is a wasteful number, since it uses less digits than its factorization.

114134431104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14373 (or 14355 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 114134431104 its reverse (401134431411), we get a palindrome (515268862515).

The spelling of 114134431104 in words is "one hundred fourteen billion, one hundred thirty-four million, four hundred thirty-one thousand, one hundred four".