114132104424 has 144 divisors (see below), whose sum is σ = 342879607980. Its totient is φ = 34260894720.

The previous prime is 114132104423. The next prime is 114132104447. The reversal of 114132104424 is 424401231411.

114132104424 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 3 + 210 + 442 + 4 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 23399820900 + 90732283524 = 152970^2 + 301218^2 .

It is a super-2 number, since 2×114132104424² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114132104423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 384502 + ... + 613274.

Almost surely, 2^114132104424 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 114132104424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171439803990).

114132104424 is an abundant number, since it is smaller than the sum of its proper divisors (228747503556).

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

114132104424 is a wasteful number, since it uses less digits than its factorization.

114132104424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228852 (or 228832 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 114132104424 its reverse (424401231411), we get a palindrome (538533335835).

The spelling of 114132104424 in words is "one hundred fourteen billion, one hundred thirty-two million, one hundred four thousand, four hundred twenty-four".