84382348050 has 768 divisors, whose sum is σ = 320019517440. Its totient is φ = 15780096000.

The previous prime is 84382348049. The next prime is 84382348069. The reversal of 84382348050 is 5084328348.

84382348050 is a `hidden beast` number, since 8 + 43 + 82 + 3 + 480 + 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 = 84382347987 and 84382348005.

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 383 ways as a sum of consecutive naturals, for example, 55404589 + ... + 55406111.

It is an arithmetic number, because the mean of its divisors is an integer number (416692080).

Almost surely, 2^84382348050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84382348050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160009758720).

84382348050 is an abundant number, since it is smaller than the sum of its proper divisors (235637169390).

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

84382348050 is a wasteful number, since it uses less digits than its factorization.

84382348050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 84382348050 in words is "eighty-four billion, three hundred eighty-two million, three hundred forty-eight thousand, fifty".