32114433040014 has 192 divisors, whose sum is σ = 71774626176000. Its totient is φ = 9569933807616.

The previous prime is 32114433040009. The next prime is 32114433040033. The reversal of 32114433040014 is 41004033441123.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3548943762 + ... + 3548952810.

It is an arithmetic number, because the mean of its divisors is an integer number (373826178000).

Almost surely, 2^{32114433040014} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32114433040014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35887313088000).

32114433040014 is an abundant number, since it is smaller than the sum of its proper divisors (39660193135986).

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

32114433040014 is a wasteful number, since it uses less digits than its factorization.

32114433040014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9899 (or 9886 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 32114433040014 its reverse (41004033441123), we get a palindrome (73118466481137).

The spelling of 32114433040014 in words is "thirty-two trillion, one hundred fourteen billion, four hundred thirty-three million, forty thousand, fourteen".