686333523456 has 1440 divisors, whose sum is σ = 2587776871680. Its totient is φ = 177689935872.

The previous prime is 686333523443. The next prime is 686333523541. The reversal of 686333523456 is 654325333686.

686333523456 is a `hidden beast` number, since 6 + 8 + 63 + 3 + 3 + 523 + 4 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 143 ways as a sum of consecutive naturals, for example, 11632771555 + ... + 11632771613.

It is an arithmetic number, because the mean of its divisors is an integer number (1797067272).

Almost surely, 2^686333523456 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 686333523456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293888435840).

686333523456 is an abundant number, since it is smaller than the sum of its proper divisors (1901443348224).

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

686333523456 is an equidigital number, since it uses as much as digits as its factorization.

686333523456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 127 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 54.

The spelling of 686333523456 in words is "six hundred eighty-six billion, three hundred thirty-three million, five hundred twenty-three thousand, four hundred fifty-six".