83164945320 has 80 divisors (see below), whose sum is σ = 279526632660. Its totient is φ = 22177317888.

The previous prime is 83164945267. The next prime is 83164945349. The reversal of 83164945320 is 2354946138.

83164945320 is a `hidden beast` number, since 8 + 316 + 4 + 9 + 4 + 5 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 83120349636 + 44595684 = 288306^2 + 6678^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12830857 + ... + 12837336.

Almost surely, 2^83164945320 is an apocalyptic number.

It is an amenable number.

83164945320 is an abundant number, since it is smaller than the sum of its proper divisors (196361687340).

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

83164945320 is a wasteful number, since it uses less digits than its factorization.

83164945320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25668216 (or 25668203 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 83164945320 in words is "eighty-three billion, one hundred sixty-four million, nine hundred forty-five thousand, three hundred twenty".