82141670952 has 96 divisors (see below), whose sum is σ = 242857349280. Its totient is φ = 24874385280.

The previous prime is 82141670927. The next prime is 82141670993. The reversal of 82141670952 is 25907614128.

82141670952 is a `hidden beast` number, since 82 + 1 + 416 + 70 + 95 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 82141670898 and 82141670907.

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 23 ways as a sum of consecutive naturals, for example, 1147723 + ... + 1217189.

It is an arithmetic number, because the mean of its divisors is an integer number (2529764055).

Almost surely, 2^82141670952 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 82141670952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121428674640).

82141670952 is an abundant number, since it is smaller than the sum of its proper divisors (160715678328).

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

82141670952 is a wasteful number, since it uses less digits than its factorization.

82141670952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70983 (or 70976 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 82141670952 in words is "eighty-two billion, one hundred forty-one million, six hundred seventy thousand, nine hundred fifty-two".