84349616064 has 224 divisors, whose sum is σ = 260835648000. Its totient is φ = 24046848000.

The previous prime is 84349616059. The next prime is 84349616077. The reversal of 84349616064 is 46061694348.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×84349616064² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 84349615998 and 84349616016.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 37470939 + ... + 37473189.

Almost surely, 2^84349616064 is an apocalyptic number.

84349616064 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 84349616064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130417824000).

84349616064 is an abundant number, since it is smaller than the sum of its proper divisors (176486031936).

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

84349616064 is a wasteful number, since it uses less digits than its factorization.

84349616064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 84349616064 in words is "eighty-four billion, three hundred forty-nine million, six hundred sixteen thousand, sixty-four".