32142014114144 has 96 divisors (see below), whose sum is σ = 75824930684160. Its totient is φ = 13239273484800.

The previous prime is 32142014114141. The next prime is 32142014114191. The reversal of 32142014114144 is 44141141024123.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 32142014114144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32142014114141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104322767 + ... + 104630414.

It is an arithmetic number, because the mean of its divisors is an integer number (789843027960).

Almost surely, 2^{32142014114144} is an apocalyptic number.

It is an amenable number.

32142014114144 is an abundant number, since it is smaller than the sum of its proper divisors (43682916570016).

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

32142014114144 is a wasteful number, since it uses less digits than its factorization.

32142014114144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208953244 (or 208953236 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 32142014114144 its reverse (44141141024123), we get a palindrome (76283155138267).

The spelling of 32142014114144 in words is "thirty-two trillion, one hundred forty-two billion, fourteen million, one hundred fourteen thousand, one hundred forty-four".