84189014864760 has 256 divisors, whose sum is σ = 272268411125760. Its totient is φ = 20702650152960.

The previous prime is 84189014864741. The next prime is 84189014864761. The reversal of 84189014864760 is 6746841098148.

It is a junction number, because it is equal to n+sod(n) for n = 84189014864691 and 84189014864700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84189014864761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12742393377 + ... + 12742399983.

It is an arithmetic number, because the mean of its divisors is an integer number (1063548480960).

Almost surely, 2^{84189014864760} 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 84189014864760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136134205562880).

84189014864760 is an abundant number, since it is smaller than the sum of its proper divisors (188079396261000).

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

84189014864760 is a wasteful number, since it uses less digits than its factorization.

84189014864760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13598 (or 13594 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 66.

The spelling of 84189014864760 in words is "eighty-four trillion, one hundred eighty-nine billion, fourteen million, eight hundred sixty-four thousand, seven hundred sixty".