114005474432 has 64 divisors (see below), whose sum is σ = 239219743200. Its totient is φ = 53969670144.

The previous prime is 114005474431. The next prime is 114005474437. The reversal of 114005474432 is 234474500411.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×114005474432³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114005474392 and 114005474401.

It is not an unprimeable number, because it can be changed into a prime (114005474431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4235288 + ... + 4262120.

Almost surely, 2^114005474432 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 114005474432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119609871600).

114005474432 is an abundant number, since it is smaller than the sum of its proper divisors (125214268768).

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

114005474432 is a wasteful number, since it uses less digits than its factorization.

114005474432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28613 (or 28601 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

Adding to 114005474432 its reverse (234474500411), we get a palindrome (348479974843).

The spelling of 114005474432 in words is "one hundred fourteen billion, five million, four hundred seventy-four thousand, four hundred thirty-two".