496817406205668 has 96 divisors (see below), whose sum is σ = 1303883889033600. Its totient is φ = 163570369876992.

The previous prime is 496817406205649. The next prime is 496817406205669. The reversal of 496817406205668 is 866502604718694.

It is a happy number.

496817406205668 is a `hidden beast` number, since 4 + 9 + 6 + 8 + 1 + 7 + 406 + 205 + 6 + 6 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 496817406205596 and 496817406205605.

It is not an unprimeable number, because it can be changed into a prime (496817406205669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29706588 + ... + 43314156.

It is an arithmetic number, because the mean of its divisors is an integer number (13582123844100).

Almost surely, 2^{496817406205668} 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 496817406205668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651941944516800).

496817406205668 is an abundant number, since it is smaller than the sum of its proper divisors (807066482827932).

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

496817406205668 is a wasteful number, since it uses less digits than its factorization.

496817406205668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13611738 (or 13611730 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 496817406205668 in words is "four hundred ninety-six trillion, eight hundred seventeen billion, four hundred six million, two hundred five thousand, six hundred sixty-eight".