686430810450 has 504 divisors, whose sum is σ = 2429305385040. Its totient is φ = 142630891200.

The previous prime is 686430810431. The next prime is 686430810491. The reversal of 686430810450 is 54018034686.

686430810450 is a `hidden beast` number, since 6 + 86 + 43 + 0 + 81 + 0 + 450 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 686430810396 and 686430810405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 19629081 + ... + 19664019.

Almost surely, 2^686430810450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 686430810450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214652692520).

686430810450 is an abundant number, since it is smaller than the sum of its proper divisors (1742874574590).

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

686430810450 is a wasteful number, since it uses less digits than its factorization.

686430810450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34994 (or 34967 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 686430810450 in words is "six hundred eighty-six billion, four hundred thirty million, eight hundred ten thousand, four hundred fifty".