82188464272 has 40 divisors (see below), whose sum is σ = 161250538680. Its totient is φ = 40578001920.

The previous prime is 82188464269. The next prime is 82188464279. The reversal of 82188464272 is 27246488128.

It can be written as a sum of positive squares in 4 ways, for example, as 64599338896 + 17589125376 = 254164^2 + 132624^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (82188464279) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 430572 + ... + 591412.

It is an arithmetic number, because the mean of its divisors is an integer number (4031263467).

Almost surely, 2^82188464272 is an apocalyptic number.

It is an amenable number.

82188464272 is a deficient number, since it is larger than the sum of its proper divisors (79062074408).

82188464272 is a wasteful number, since it uses less digits than its factorization.

82188464272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161251 (or 161245 counting only the distinct ones).

The product of its digits is 2752512, while the sum is 52.

The spelling of 82188464272 in words is "eighty-two billion, one hundred eighty-eight million, four hundred sixty-four thousand, two hundred seventy-two".