82362164850 has 336 divisors, whose sum is σ = 271573600320. Its totient is φ = 18174844800.

The previous prime is 82362164779. The next prime is 82362164867. The reversal of 82362164850 is 5846126328.

82362164850 is a `hidden beast` number, since 82 + 362 + 164 + 8 + 50 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 82362164796 and 82362164805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 7393785 + ... + 7404915.

Almost surely, 2^82362164850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82362164850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135786800160).

82362164850 is an abundant number, since it is smaller than the sum of its proper divisors (189211435470).

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

82362164850 is a wasteful number, since it uses less digits than its factorization.

82362164850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11197 (or 11177 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 82362164850 in words is "eighty-two billion, three hundred sixty-two million, one hundred sixty-four thousand, eight hundred fifty".