84605845713104 has 160 divisors (see below), whose sum is σ = 179829292001184. Its totient is φ = 38403888906240.

The previous prime is 84605845713079. The next prime is 84605845713203. The reversal of 84605845713104 is 40131754850648.

It can be written as a sum of positive squares in 16 ways, for example, as 44524284713104 + 40081561000000 = 6672652^2 + 6331000^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 84605845713104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1858098722 + ... + 1858144254.

Almost surely, 2^{84605845713104} 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 84605845713104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89914646000592).

84605845713104 is an abundant number, since it is smaller than the sum of its proper divisors (95223446288080).

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

84605845713104 is a wasteful number, since it uses less digits than its factorization.

84605845713104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47785 (or 47779 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 56.

The spelling of 84605845713104 in words is "eighty-four trillion, six hundred five billion, eight hundred forty-five million, seven hundred thirteen thousand, one hundred four".