84349616016 has 80 divisors (see below), whose sum is σ = 220978267200. Its totient is φ = 27720069120.

The previous prime is 84349616009. The next prime is 84349616059. The reversal of 84349616016 is 61061694348.

It is a super-2 number, since 2×84349616016² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 16539835 + ... + 16544933.

It is an arithmetic number, because the mean of its divisors is an integer number (2762228340).

Almost surely, 2^84349616016 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 84349616016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110489133600).

84349616016 is an abundant number, since it is smaller than the sum of its proper divisors (136628651184).

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

84349616016 is a wasteful number, since it uses less digits than its factorization.

84349616016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9904 (or 9898 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 84349616016 in words is "eighty-four billion, three hundred forty-nine million, six hundred sixteen thousand, sixteen".