82665177141352 has 144 divisors (see below), whose sum is σ = 168796540245060. Its totient is φ = 37936147931136.

The previous prime is 82665177141311. The next prime is 82665177141377. The reversal of 82665177141352 is 25314177156628.

It is a happy number.

82665177141352 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 18 ways, for example, as 24538489805956 + 58126687335396 = 4953634^2 + 7624086^2 .

It is a super-2 number, since 2×82665177141352² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 122830872088 + ... + 122830872760.

Almost surely, 2^{82665177141352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82665177141352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84398270122530).

82665177141352 is an abundant number, since it is smaller than the sum of its proper divisors (86131363103708).

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

82665177141352 is a wasteful number, since it uses less digits than its factorization.

82665177141352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104 (or 1714 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 58.

The spelling of 82665177141352 in words is "eighty-two trillion, six hundred sixty-five billion, one hundred seventy-seven million, one hundred forty-one thousand, three hundred fifty-two".