32132105615214 has 96 divisors (see below), whose sum is σ = 77891818324320. Its totient is φ = 9488427187200.

The previous prime is 32132105615213. The next prime is 32132105615231. The reversal of 32132105615214 is 41251650123123.

32132105615214 is a `hidden beast` number, since 3 + 2 + 1 + 3 + 2 + 10 + 5 + 615 + 21 + 4 = 666.

It is a super-2 number, since 2×32132105615214² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32132105615213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4647832 + ... + 9266420.

It is an arithmetic number, because the mean of its divisors is an integer number (811373107545).

Almost surely, 2^{32132105615214} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32132105615214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38945909162160).

32132105615214 is an abundant number, since it is smaller than the sum of its proper divisors (45759712709106).

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

32132105615214 is a wasteful number, since it uses less digits than its factorization.

32132105615214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4619506 (or 4619503 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 32132105615214 its reverse (41251650123123), we get a palindrome (73383755738337).

The spelling of 32132105615214 in words is "thirty-two trillion, one hundred thirty-two billion, one hundred five million, six hundred fifteen thousand, two hundred fourteen".