686545392456 has 1024 divisors, whose sum is σ = 2657525760000. Its totient is φ = 158754816000.

The previous prime is 686545392451. The next prime is 686545392499. The reversal of 686545392456 is 654293545686.

686545392456 is a `hidden beast` number, since 6 + 8 + 6 + 54 + 539 + 2 + 45 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 686545392393 and 686545392402.

It is not an unprimeable number, because it can be changed into a prime (686545392451) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 428822056 + ... + 428823656.

It is an arithmetic number, because the mean of its divisors is an integer number (2595240000).

Almost surely, 2^686545392456 is an apocalyptic number.

686545392456 is a gapful number since it is divisible by the number (66) 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 686545392456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328762880000).

686545392456 is an abundant number, since it is smaller than the sum of its proper divisors (1970980367544).

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

686545392456 is a wasteful number, since it uses less digits than its factorization.

686545392456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1725 counting only the distinct ones).

The product of its digits is 186624000, while the sum is 63.

The spelling of 686545392456 in words is "six hundred eighty-six billion, five hundred forty-five million, three hundred ninety-two thousand, four hundred fifty-six".