82211881032 has 36 divisors (see below), whose sum is σ = 222663767235. Its totient is φ = 27403149360.

The previous prime is 82211881027. The next prime is 82211881043. The reversal of 82211881032 is 23018811228.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 41105940516 + 41105940516 = 202746^2 + 202746^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=202746.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2416057 + ... + 2449847.

Almost surely, 2^82211881032 is an apocalyptic number.

It is an amenable number.

82211881032 is an abundant number, since it is smaller than the sum of its proper divisors (140451886203).

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

82211881032 is an frugal number, since it uses more digits than its factorization.

82211881032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67594 (or 33796 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 82211881032 in words is "eighty-two billion, two hundred eleven million, eight hundred eighty-one thousand, thirty-two".