82441458180 has 480 divisors, whose sum is σ = 279983886336. Its totient is φ = 20316635136.

The previous prime is 82441458137. The next prime is 82441458199. The reversal of 82441458180 is 8185414428.

82441458180 is a `hidden beast` number, since 8 + 2 + 4 + 414 + 58 + 180 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 649145277 + ... + 649145403.

Almost surely, 2^82441458180 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 82441458180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139991943168).

82441458180 is an abundant number, since it is smaller than the sum of its proper divisors (197542428156).

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

82441458180 is a wasteful number, since it uses less digits than its factorization.

82441458180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The spelling of 82441458180 in words is "eighty-two billion, four hundred forty-one million, four hundred fifty-eight thousand, one hundred eighty".