686834102188416 has 256 divisors, whose sum is σ = 2245537192550400. Its totient is φ = 181133539614720.

The previous prime is 686834102188369. The next prime is 686834102188427. The reversal of 686834102188416 is 614881201438686.

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, 677092290 + ... + 678105918.

It is an arithmetic number, because the mean of its divisors is an integer number (8771629658400).

Almost surely, 2^{686834102188416} 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 686834102188416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122768596275200).

686834102188416 is an abundant number, since it is smaller than the sum of its proper divisors (1558703090361984).

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

686834102188416 is a wasteful number, since it uses less digits than its factorization.

686834102188416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033057 (or 1033045 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 66.

The spelling of 686834102188416 in words is "six hundred eighty-six trillion, eight hundred thirty-four billion, one hundred two million, one hundred eighty-eight thousand, four hundred sixteen".