168253985376 has 288 divisors, whose sum is σ = 506921950080. Its totient is φ = 54881058816.

The previous prime is 168253985351. The next prime is 168253985399. The reversal of 168253985376 is 673589352861.

168253985376 is a `hidden beast` number, since 1 + 6 + 8 + 2 + 5 + 3 + 98 + 537 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×168253985376² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117906775 + ... + 117908201.

It is an arithmetic number, because the mean of its divisors is an integer number (1760145660).

Almost surely, 2^168253985376 is an apocalyptic number.

168253985376 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 168253985376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253460975040).

168253985376 is an abundant number, since it is smaller than the sum of its proper divisors (338667964704).

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

168253985376 is a wasteful number, since it uses less digits than its factorization.

168253985376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768 (or 1748 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The spelling of 168253985376 in words is "one hundred sixty-eight billion, two hundred fifty-three million, nine hundred eighty-five thousand, three hundred seventy-six".