84950284104 has 96 divisors (see below), whose sum is σ = 263736258240. Its totient is φ = 24198134400.

The previous prime is 84950284103. The next prime is 84950284121. The reversal of 84950284104 is 40148205948.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 84950284104.

It is not an unprimeable number, because it can be changed into a prime (84950284103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87787 + ... + 421434.

It is an arithmetic number, because the mean of its divisors is an integer number (2747252690).

Almost surely, 2^84950284104 is an apocalyptic number.

84950284104 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84950284104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131868129120).

84950284104 is an abundant number, since it is smaller than the sum of its proper divisors (178785974136).

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

84950284104 is a wasteful number, since it uses less digits than its factorization.

84950284104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509571 (or 509564 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 84950284104 in words is "eighty-four billion, nine hundred fifty million, two hundred eighty-four thousand, one hundred four".