168254281728 has 768 divisors, whose sum is σ = 575318016000. Its totient is φ = 48157949952.

The previous prime is 168254281681. The next prime is 168254281751. The reversal of 168254281728 is 827182452861.

168254281728 is a `hidden beast` number, since 1 + 6 + 82 + 542 + 8 + 17 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1324836801 + ... + 1324836927.

It is an arithmetic number, because the mean of its divisors is an integer number (749112000).

Almost surely, 2^168254281728 is an apocalyptic number.

168254281728 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 168254281728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287659008000).

168254281728 is an abundant number, since it is smaller than the sum of its proper divisors (407063734272).

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

168254281728 is a wasteful number, since it uses less digits than its factorization.

168254281728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 261 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 54.

The spelling of 168254281728 in words is "one hundred sixty-eight billion, two hundred fifty-four million, two hundred eighty-one thousand, seven hundred twenty-eight".