168236410649328 has 960 divisors, whose sum is σ = 619597543219200. Its totient is φ = 41511149568000.

The previous prime is 168236410649327. The next prime is 168236410649389. The reversal of 168236410649328 is 823946014632861.

168236410649328 is a `hidden beast` number, since 1 + 6 + 8 + 2 + 36 + 4 + 106 + 493 + 2 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168236410649327) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 705804408 + ... + 706042728.

It is an arithmetic number, because the mean of its divisors is an integer number (645414107520).

Almost surely, 2^{168236410649328} is an apocalyptic number.

168236410649328 is a gapful number since it is divisible by the number (18) 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 168236410649328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309798771609600).

168236410649328 is an abundant number, since it is smaller than the sum of its proper divisors (451361132569872).

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

168236410649328 is a wasteful number, since it uses less digits than its factorization.

168236410649328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238462 (or 238453 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 168236410649328 in words is "one hundred sixty-eight trillion, two hundred thirty-six billion, four hundred ten million, six hundred forty-nine thousand, three hundred twenty-eight".