168284793470976 has 2592 divisors, whose sum is σ = 646588082649600. Its totient is φ = 42056357511168.

The previous prime is 168284793470957. The next prime is 168284793470977. The reversal of 168284793470976 is 679074397482861.

168284793470976 is a `hidden beast` number, since 1 + 6 + 8 + 2 + 8 + 4 + 79 + 3 + 470 + 9 + 76 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 168284793470895 and 168284793470904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168284793470977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1572755079115 + ... + 1572755079221.

It is an arithmetic number, because the mean of its divisors is an integer number (249455278800).

Almost surely, 2^{168284793470976} is an apocalyptic number.

168284793470976 is a gapful number since it is divisible by the number (16) 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 168284793470976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323294041324800).

168284793470976 is an abundant number, since it is smaller than the sum of its proper divisors (478303289178624).

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

168284793470976 is an equidigital number, since it uses as much as digits as its factorization.

168284793470976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 6145155072, while the sum is 81.

The spelling of 168284793470976 in words is "one hundred sixty-eight trillion, two hundred eighty-four billion, seven hundred ninety-three million, four hundred seventy thousand, nine hundred seventy-six".